高中三角函数tan对照表

高中三角函数tan对照表sin(0°)=0.000000,cos(0°)=1.000000,tan(0°)=0.000000 sin(1°)=0.017452,cos(1°)=0.999848,tan(1°)=0.017455 sin(2°)=0.034899,cos(2°)=0.999391,tan(2°)=0.034921 sin(3°)=0.052336,cos(3°)=0.998630,tan(3°)=0.052408 sin(4°)=0.069756,cos(4°)=0.997564,tan(4°)=0.069927 sin(5°)=0.087156,cos(5°)=0.996195,tan(5°)=0.087489 sin(6°)=0.104528,cos(6°)=0.994522,tan(6°)=0.105104 sin(7°)=0.121869,cos(7°)=0.992546,tan(7°)=0.122785 sin(8°)=0.139173,cos(8°)=0.990268,tan(8°)=0.140541 sin(9°)=0.156434,cos(9°)=0.987688,tan(9°)=0.158384 sin(10°)=0.173648,cos(10°)=0.984808,tan(10°)=0.176327 sin(11°)=0.190809,cos(11°)=0.981627,tan(11°)=0.194380 sin(12°)=0.207912,cos(12°)=0.978148,tan(12°)=0.212557 sin(13°)=0.224951,cos(13°)=0.974370,tan(13°)=0.230868 sin(14°)=0.241922,cos(14°)=0.970296,tan(14°)=0.249328 sin(15°)=0.258819,cos(15°)=0.965926,tan(15°)=0.267949 sin(16°)=0.275637,cos(16°)=0.961262,tan(16°)=0.286745 sin(17°)=0.292372,cos(17°)=0.956305,tan(17°)=0.305731 sin(18°)=0.309017,cos(18°)=0.951057,tan(18°)=0.324920 sin(19°)=0.325568,cos(19°)=0.945519,tan(19°)=0.344328 sin(20°)=0.342020,cos(20°)=0.939693,tan(20°)=0.363970sin(21°)=0.358368,cos(21°)=0.933580,tan(21°)=0.383864 sin(22°)=0.374607,cos(22°)=0.927184,tan(22°)=0.404026 sin(23°)=0.390731,cos(23°)=0.920505,tan(23°)=0.424475 sin(24°)=0.406737,cos(24°)=0.913545,tan(24°)=0.445229 sin(25°)=0.422618,cos(25°)=0.906308,tan(25°)=0.466308 sin(26°)=0.438371,cos(26°)=0.898794,tan(26°)=0.487733 sin(27°)=0.453990,cos(27°)=0.891007,tan(27°)=0.509525 sin(28°)=0.469472,cos(28°)=0.882948,tan(28°)=0.531709 sin(29°)=0.484810,cos(29°)=0.874620,tan(29°)=0.554309 sin(30°)=0.500000,cos(30°)=0.866025,tan(30°)=0.577350 sin(31°)=0.515038,cos(31°)=0.857167,tan(31°)=0.600861 sin(32°)=0.529919,cos(32°)=0.848048,tan(32°)=0.624869 sin(33°)=0.544639,cos(33°)=0.838671,tan(33°)=0.649408 sin(34°)=0.559193,cos(34°)=0.829038,tan(34°)=0.674509 sin(35°)=0.573576,cos(35°)=0.819152,tan(35°)=0.700208 sin(36°)=0.587785,cos(36°)=0.809017,tan(36°)=0.726543 sin(37°)=0.601815,cos(37°)=0.798636,tan(37°)=0.753554 sin(38°)=0.615661,cos(38°)=0.788011,tan(38°)=0.781286 sin(39°)=0.629320,cos(39°)=0.777146,tan(39°)=0.809784 sin(40°)=0.642788,cos(40°)=0.766044,tan(40°)=0.839100 sin(41°)=0.656059,cos(41°)=0.754710,tan(41°)=0.869287 sin(42°)=0.669131,cos(42°)=0.743145,tan(42°)=0.900404sin(43°)=0.681998,cos(43°)=0.731354,tan(43°)=0.932515 sin(44°)=0.694658,cos(44°)=0.719340,tan(44°)=0.965689 sin(45°)=0.707107,cos(45°)=0.707107,tan(45°)=1.000000 sin(46°)=0.719340,cos(46°)=0.694658,tan(46°)=1.035530 sin(47°)=0.731354,cos(47°)=0.681998,tan(47°)=1.072369 sin(48°)=0.743145,cos(48°)=0.669131,tan(48°)=1.110613 sin(49°)=0.754710,cos(49°)=0.656059,tan(49°)=1.150368 sin(50°)=0.766044,cos(50°)=0.642788,tan(50°)=1.191754 sin(51°)=0.777146,cos(51°)=0.629320,tan(51°)=1.234897 sin(52°)=0.788011,cos(52°)=0.615661,tan(52°)=1.279942 sin(53°)=0.798636,cos(53°)=0.601815,tan(53°)=1.327045 sin(54°)=0.809017,cos(54°)=0.587785,tan(54°)=1.376382 sin(55°)=0.819152,cos(55°)=0.573576,tan(55°)=1.428148 sin(56°)=0.829038,cos(56°)=0.559193,tan(56°)=1.482561 sin(57°)=0.838671,cos(57°)=0.544639,tan(57°)=1.539865 sin(58°)=0.848048,cos(58°)=0.529919,tan(58°)=1.600335 sin(59°)=0.857167,cos(59°)=0.515038,tan(59°)=1.664279 sin(60°)=0.866025,cos(60°)=0.500000,tan(60°)=1.732051 sin(61°)=0.874620,cos(61°)=0.484810,tan(61°)=1.804048 sin(62°)=0.882948,cos(62°)=0.469472,tan(62°)=1.880726 sin(63°)=0.891007,cos(63°)=0.453990,tan(63°)=1.962611 sin(64°)=0.898794,cos(64°)=0.438371,tan(64°)=2.050304sin(66°)=0.913545,cos(66°)=0.406737,tan(66°)=2.246037 sin(67°)=0.920505,cos(67°)=0.390731,tan(67°)=2.355852 sin(68°)=0.927184,cos(68°)=0.374607,tan(68°)=2.475087 sin(69°)=0.933580,cos(69°)=0.358368,tan(69°)=2.605089 sin(70°)=0.939693,cos(70°)=0.342020,tan(70°)=2.747477 sin(71°)=0.945519,cos(71°)=0.325568,tan(71°)=2.904211 sin(72°)=0.951057,cos(72°)=0.309017,tan(72°)=3.077684 sin(73°)=0.956305,cos(73°)=0.292372,tan(73°)=3.270853 sin(74°)=0.961262,cos(74°)=0.275637,tan(74°)=3.487414 sin(75°)=0.965926,cos(75°)=0.258819,tan(75°)=3.732051 sin(76°)=0.970296,cos(76°)=0.241922,tan(76°)=4.010781 sin(77°)=0.974370,cos(77°)=0.224951,tan(77°)=4.331476 sin(78°)=0.978148,cos(78°)=0.207912,tan(78°)=4.704630 sin(79°)=0.981627,cos(79°)=0.190809,tan(79°)=5.144554 sin(80°)=0.984808,cos(80°)=0.173648,tan(80°)=5.671282 sin(81°)=0.987688,cos(81°)=0.156434,tan(81°)=6.313752 sin(82°)=0.990268,cos(82°)=0.139173,tan(82°)=7.115370 sin(83°)=0.992546,cos(83°)=0.121869,tan(83°)=8.144346 sin(84°)=0.994522,cos(84°)=0.104528,tan(84°)=9.514364 sin(85°)=0.996195,cos(85°)=0.087156,tan(85°)=11.430052 sin(86°)=0.997564,cos(86°)=0.069756,tan(86°)=14.300666sin(88°)=0.999391,cos(88°)=0.034899,tan(88°)=28.636253 sin(89°)=0.999848,cos(89°)=0.017452,tan(89°)=57.289962 sin(90°)=1.000000,cos(90°)=0.000000,tan(90°)=无意义sin(91°)=0.999848,cos(91°)=-0.017452,tan(91°)=-57.289962 sin(92°)=0.999391,cos(92°)=-0.034899,tan(92°)=-28.636253 sin(93°)=0.998630,cos(93°)=-0.052336,tan(93°)=-19.081137 sin(94°)=0.997564,cos(94°)=-0.069756,tan(94°)=-14.300666 sin(95°)=0.996195,cos(95°)=-0.087156,tan(95°)=-11.430052 sin(96°)=0.994522,cos(96°)=-0.104528,tan(96°)=-9.514364 sin(97°)=0.992546,cos(97°)=-0.121869,tan(97°)=-8.144346 sin(98°)=0.990268,cos(98°)=-0.139173,tan(98°)=-7.115370 sin(99°)=0.987688,cos(99°)=-0.156434,tan(99°)=-6.313752 sin(100°)=0.984808,cos(100°)=-0.173648,tan(100°)=-5.671282 sin(101°)=0.981627,cos(101°)=-0.190809,tan(101°)=-5.144554 sin(102°)=0.978148,cos(102°)=-0.207912,tan(102°)=-4.704630 sin(103°)=0.974370,cos(103°)=-0.224951,tan(103°)=-4.331476 sin(104°)=0.970296,cos(104°)=-0.241922,tan(104°)=-4.010781 sin(105°)=0.965926,cos(105°)=-0.258819,tan(105°)=-3.732051 sin(106°)=0.961262,cos(106°)=-0.275637,tan(106°)=-3.487414 sin(107°)=0.956305,cos(107°)=-0.292372,tan(107°)=-3.270853 sin(108°)=0.951057,cos(108°)=-0.309017,tan(108°)=-3.077684sin(109°)=0.945519,cos(109°)=-0.325568,tan(109°)=-2.904211 sin(110°)=0.939693,cos(110°)=-0.342020,tan(110°)=-2.747477 sin(111°)=0.933580,cos(111°)=-0.358368,tan(111°)=-2.605089 sin(112°)=0.927184,cos(112°)=-0.374607,tan(112°)=-2.475087 sin(113°)=0.920505,cos(113°)=-0.390731,tan(113°)=-2.355852 sin(114°)=0.913545,cos(114°)=-0.406737,tan(114°)=-2.246037 sin(115°)=0.906308,cos(115°)=-0.422618,tan(115°)=-2.144507 sin(116°)=0.898794,cos(116°)=-0.438371,tan(116°)=-2.050304 sin(117°)=0.891007,cos(117°)=-0.453990,tan(117°)=-1.962611 sin(118°)=0.882948,cos(118°)=-0.469472,tan(118°)=-1.880726 sin(119°)=0.874620,cos(119°)=-0.484810,tan(119°)=-1.804048 sin(120°)=0.866025,cos(120°)=-0.500000,tan(120°)=-1.732051 sin(121°)=0.857167,cos(121°)=-0.515038,tan(121°)=-1.664279 sin(122°)=0.848048,cos(122°)=-0.529919,tan(122°)=-1.600335 sin(123°)=0.838671,cos(123°)=-0.544639,tan(123°)=-1.539865 sin(124°)=0.829038,cos(124°)=-0.559193,tan(124°)=-1.482561 sin(125°)=0.819152,cos(125°)=-0.573576,tan(125°)=-1.428148 sin(126°)=0.809017,cos(126°)=-0.587785,tan(126°)=-1.376382 sin(127°)=0.798636,cos(127°)=-0.601815,tan(127°)=-1.327045 sin(128°)=0.788011,cos(128°)=-0.615661,tan(128°)=-1.279942 sin(129°)=0.777146,cos(129°)=-0.629320,tan(129°)=-1.234897 sin(130°)=0.766044,cos(130°)=-0.642788,tan(130°)=-1.191754sin(131°)=0.754710,cos(131°)=-0.656059,tan(131°)=-1.150368 sin(132°)=0.743145,cos(132°)=-0.669131,tan(132°)=-1.110613 sin(133°)=0.731354,cos(133°)=-0.681998,tan(133°)=-1.072369 sin(134°)=0.719340,cos(134°)=-0.694658,tan(134°)=-1.035530 sin(135°)=0.707107,cos(135°)=-0.707107,tan(135°)=-1.000000 sin(136°)=0.694658,cos(136°)=-0.719340,tan(136°)=-0.965689 sin(137°)=0.681998,cos(137°)=-0.731354,tan(137°)=-0.932515 sin(138°)=0.669131,cos(138°)=-0.743145,tan(138°)=-0.900404 sin(139°)=0.656059,cos(139°)=-0.754710,tan(139°)=-0.869287 sin(140°)=0.642788,cos(140°)=-0.766044,tan(140°)=-0.839100 sin(141°)=0.629320,cos(141°)=-0.777146,tan(141°)=-0.809784 sin(142°)=0.615661,cos(142°)=-0.788011,tan(142°)=-0.781286 sin(143°)=0.601815,cos(143°)=-0.798636,tan(143°)=-0.753554 sin(144°)=0.587785,cos(144°)=-0.809017,tan(144°)=-0.726543 sin(145°)=0.573576,cos(145°)=-0.819152,tan(145°)=-0.700208 sin(146°)=0.559193,cos(146°)=-0.829038,tan(146°)=-0.674509 sin(147°)=0.544639,cos(147°)=-0.838671,tan(147°)=-0.649408 sin(148°)=0.529919,cos(148°)=-0.848048,tan(148°)=-0.624869 sin(149°)=0.515038,cos(149°)=-0.857167,tan(149°)=-0.600861 sin(150°)=0.500000,cos(150°)=-0.866025,tan(150°)=-0.577350 sin(151°)=0.484810,cos(151°)=-0.874620,tan(151°)=-0.554309 sin(152°)=0.469472,cos(152°)=-0.882948,tan(152°)=-0.531709sin(153°)=0.453990,cos(153°)=-0.891007,tan(153°)=-0.509525 sin(154°)=0.438371,cos(154°)=-0.898794,tan(154°)=-0.487733 sin(155°)=0.422618,cos(155°)=-0.906308,tan(155°)=-0.466308 sin(156°)=0.406737,cos(156°)=-0.913545,tan(156°)=-0.445229 sin(157°)=0.390731,cos(157°)=-0.920505,tan(157°)=-0.424475 sin(158°)=0.374607,cos(158°)=-0.927184,tan(158°)=-0.404026 sin(159°)=0.358368,cos(159°)=-0.933580,tan(159°)=-0.383864 sin(160°)=0.342020,cos(160°)=-0.939693,tan(160°)=-0.363970 sin(161°)=0.325568,cos(161°)=-0.945519,tan(161°)=-0.344328 sin(162°)=0.309017,cos(162°)=-0.951057,tan(162°)=-0.324920 sin(163°)=0.292372,cos(163°)=-0.956305,tan(163°)=-0.305731 sin(164°)=0.275637,cos(164°)=-0.961262,tan(164°)=-0.286745 sin(165°)=0.258819,cos(165°)=-0.965926,tan(165°)=-0.267949 sin(166°)=0.241922,cos(166°)=-0.970296,tan(166°)=-0.249328 sin(167°)=0.224951,cos(167°)=-0.974370,tan(167°)=-0.230868 sin(168°)=0.207912,cos(168°)=-0.978148,tan(168°)=-0.212557 sin(169°)=0.190809,cos(169°)=-0.981627,tan(169°)=-0.194380 sin(170°)=0.173648,cos(170°)=-0.984808,tan(170°)=-0.176327 sin(171°)=0.156434,cos(171°)=-0.987688,tan(171°)=-0.158384 sin(172°)=0.139173,cos(172°)=-0.990268,tan(172°)=-0.140541 sin(173°)=0.121869,cos(173°)=-0.992546,tan(173°)=-0.122785 sin(174°)=0.104528,cos(174°)=-0.994522,tan(174°)=-0.105104sin(175°)=0.087156,cos(175°)=-0.996195,tan(175°)=-0.087489 sin(176°)=0.069756,cos(176°)=-0.997564,tan(176°)=-0.069927 sin(177°)=0.052336,cos(177°)=-0.998630,tan(177°)=-0.052408 sin(178°)=0.034899,cos(178°)=-0.999391,tan(178°)=-0.034921 sin(179°)=0.017452,cos(179°)=-0.999848,tan(179°)=-0.017455 sin(180°)=0.000000,cos(180°)=-1.000000,tan(180°)=-0.000000 sin(181°)=-0.017452,cos(181°)=-0.999848,tan(181°)=0.017455 sin(182°)=-0.034899,cos(182°)=-0.999391,tan(182°)=0.034921 sin(183°)=-0.052336,cos(183°)=-0.998630,tan(183°)=0.052408 sin(184°)=-0.069756,cos(184°)=-0.997564,tan(184°)=0.069927 sin(185°)=-0.087156,cos(185°)=-0.996195,tan(185°)=0.087489 sin(186°)=-0.104528,cos(186°)=-0.994522,tan(186°)=0.105104 sin(187°)=-0.121869,cos(187°)=-0.992546,tan(187°)=0.122785 sin(188°)=-0.139173,cos(188°)=-0.990268,tan(188°)=0.140541 sin(189°)=-0.156434,cos(189°)=-0.987688,tan(189°)=0.158384 sin(190°)=-0.173648,cos(190°)=-0.984808,tan(190°)=0.176327 sin(191°)=-0.190809,cos(191°)=-0.981627,tan(191°)=0.194380 sin(192°)=-0.207912,cos(192°)=-0.978148,tan(192°)=0.212557 sin(193°)=-0.224951,cos(193°)=-0.974370,tan(193°)=0.230868 sin(194°)=-0.241922,cos(194°)=-0.970296,tan(194°)=0.249328 sin(195°)=-0.258819,cos(195°)=-0.965926,tan(195°)=0.267949 sin(196°)=-0.275637,cos(196°)=-0.961262,tan(196°)=0.286745sin(197°)=-0.292372,cos(197°)=-0.956305,tan(197°)=0.305731 sin(198°)=-0.309017,cos(198°)=-0.951057,tan(198°)=0.324920 sin(199°)=-0.325568,cos(199°)=-0.945519,tan(199°)=0.344328 sin(200°)=-0.342020,cos(200°)=-0.939693,tan(200°)=0.363970 sin(201°)=-0.358368,cos(201°)=-0.933580,tan(201°)=0.383864 sin(202°)=-0.374607,cos(202°)=-0.927184,tan(202°)=0.404026 sin(203°)=-0.390731,cos(203°)=-0.920505,tan(203°)=0.424475 sin(204°)=-0.406737,cos(204°)=-0.913545,tan(204°)=0.445229 sin(205°)=-0.422618,cos(205°)=-0.906308,tan(205°)=0.466308 sin(206°)=-0.438371,cos(206°)=-0.898794,tan(206°)=0.487733 sin(207°)=-0.453990,cos(207°)=-0.891007,tan(207°)=0.509525 sin(208°)=-0.469472,cos(208°)=-0.882948,tan(208°)=0.531709 sin(209°)=-0.484810,cos(209°)=-0.874620,tan(209°)=0.554309 sin(210°)=-0.500000,cos(210°)=-0.866025,tan(210°)=0.577350 sin(211°)=-0.515038,cos(211°)=-0.857167,tan(211°)=0.600861 sin(212°)=-0.529919,cos(212°)=-0.848048,tan(212°)=0.624869 sin(213°)=-0.544639,cos(213°)=-0.838671,tan(213°)=0.649408 sin(214°)=-0.559193,cos(214°)=-0.829038,tan(214°)=0.674509 sin(215°)=-0.573576,cos(215°)=-0.819152,tan(215°)=0.700208 sin(216°)=-0.587785,cos(216°)=-0.809017,tan(216°)=0.726543 sin(217°)=-0.601815,cos(217°)=-0.798636,tan(217°)=0.753554 sin(218°)=-0.615661,cos(218°)=-0.788011,tan(218°)=0.781286sin(219°)=-0.629320,cos(219°)=-0.777146,tan(219°)=0.809784 sin(220°)=-0.642788,cos(220°)=-0.766044,tan(220°)=0.839100 sin(221°)=-0.656059,cos(221°)=-0.754710,tan(221°)=0.869287 sin(222°)=-0.669131,cos(222°)=-0.743145,tan(222°)=0.900404 sin(223°)=-0.681998,cos(223°)=-0.731354,tan(223°)=0.932515 sin(224°)=-0.694658,cos(224°)=-0.719340,tan(224°)=0.965689 sin(225°)=-0.707107,cos(225°)=-0.707107,tan(225°)=1.000000 sin(226°)=-0.719340,cos(226°)=-0.694658,tan(226°)=1.035530 sin(227°)=-0.731354,cos(227°)=-0.681998,tan(227°)=1.072369 sin(228°)=-0.743145,cos(228°)=-0.669131,tan(228°)=1.110613 sin(229°)=-0.754710,cos(229°)=-0.656059,tan(229°)=1.150368 sin(230°)=-0.766044,cos(230°)=-0.642788,tan(230°)=1.191754 sin(231°)=-0.777146,cos(231°)=-0.629320,tan(231°)=1.234897 sin(232°)=-0.788011,cos(232°)=-0.615661,tan(232°)=1.279942 sin(233°)=-0.798636,cos(233°)=-0.601815,tan(233°)=1.327045 sin(234°)=-0.809017,cos(234°)=-0.587785,tan(234°)=1.376382 sin(235°)=-0.819152,cos(235°)=-0.573576,tan(235°)=1.428148 sin(236°)=-0.829038,cos(236°)=-0.559193,tan(236°)=1.482561 sin(237°)=-0.838671,cos(237°)=-0.544639,tan(237°)=1.539865 sin(238°)=-0.848048,cos(238°)=-0.529919,tan(238°)=1.600335 sin(239°)=-0.857167,cos(239°)=-0.515038,tan(239°)=1.664279 sin(240°)=-0.866025,cos(240°)=-0.500000,tan(240°)=1.732051sin(241°)=-0.874620,cos(241°)=-0.484810,tan(241°)=1.804048 sin(242°)=-0.882948,cos(242°)=-0.469472,tan(242°)=1.880726 sin(243°)=-0.891007,cos(243°)=-0.453990,tan(243°)=1.962611 sin(244°)=-0.898794,cos(244°)=-0.438371,tan(244°)=2.050304 sin(245°)=-0.906308,cos(245°)=-0.422618,tan(245°)=2.144507 sin(246°)=-0.913545,cos(246°)=-0.406737,tan(246°)=2.246037 sin(247°)=-0.920505,cos(247°)=-0.390731,tan(247°)=2.355852 sin(248°)=-0.927184,cos(248°)=-0.374607,tan(248°)=2.475087 sin(249°)=-0.933580,cos(249°)=-0.358368,tan(249°)=2.605089 sin(250°)=-0.939693,cos(250°)=-0.342020,tan(250°)=2.747477 sin(251°)=-0.945519,cos(251°)=-0.325568,tan(251°)=2.904211 sin(252°)=-0.951057,cos(252°)=-0.309017,tan(252°)=3.077684 sin(253°)=-0.956305,cos(253°)=-0.292372,tan(253°)=3.270853 sin(254°)=-0.961262,cos(254°)=-0.275637,tan(254°)=3.487414 sin(255°)=-0.965926,cos(255°)=-0.258819,tan(255°)=3.732051 sin(256°)=-0.970296,cos(256°)=-0.241922,tan(256°)=4.010781 sin(257°)=-0.974370,cos(257°)=-0.224951,tan(257°)=4.331476 sin(258°)=-0.978148,cos(258°)=-0.207912,tan(258°)=4.704630 sin(259°)=-0.981627,cos(259°)=-0.190809,tan(259°)=5.144554 sin(260°)=-0.984808,cos(260°)=-0.173648,tan(260°)=5.671282 sin(261°)=-0.987688,cos(261°)=-0.156434,tan(261°)=6.313752 sin(262°)=-0.990268,cos(262°)=-0.139173,tan(262°)=7.115370sin(263°)=-0.992546,cos(263°)=-0.121869,tan(263°)=8.144346 sin(264°)=-0.994522,cos(264°)=-0.104528,tan(264°)=9.514364 sin(265°)=-0.996195,cos(265°)=-0.087156,tan(265°)=11.430052 sin(266°)=-0.997564,cos(266°)=-0.069756,tan(266°)=14.300666 sin(267°)=-0.998630,cos(267°)=-0.052336,tan(267°)=19.081137 sin(268°)=-0.999391,cos(268°)=-0.034899,tan(268°)=28.636253 sin(269°)=-0.999848,cos(269°)=-0.017452,tan(269°)=57.289962 sin(270°)=-1.000000,cos(270°)=-0.000000,tan(270°)=无意义sin(271°)=-0.999848,cos(271°)=0.017452,tan(271°)=-57.289962 sin(272°)=-0.999391,cos(272°)=0.034899,tan(272°)=-28.636253 sin(273°)=-0.998630,cos(273°)=0.052336,tan(273°)=-19.081137 sin(274°)=-0.997564,cos(274°)=0.069756,tan(274°)=-14.300666 sin(275°)=-0.996195,cos(275°)=0.087156,tan(275°)=-11.430052 sin(276°)=-0.994522,cos(276°)=0.104528,tan(276°)=-9.514364 sin(277°)=-0.992546,cos(277°)=0.121869,tan(277°)=-8.144346 sin(278°)=-0.990268,cos(278°)=0.139173,tan(278°)=-7.115370 sin(279°)=-0.987688,cos(279°)=0.156434,tan(279°)=-6.313752 sin(280°)=-0.984808,cos(280°)=0.173648,tan(280°)=-5.671282 sin(281°)=-0.981627,cos(281°)=0.190809,tan(281°)=-5.144554 sin(282°)=-0.978148,cos(282°)=0.207912,tan(282°)=-4.704630 sin(283°)=-0.974370,cos(283°)=0.224951,tan(283°)=-4.331476 sin(284°)=-0.970296,cos(284°)=0.241922,tan(284°)=-4.010781sin(285°)=-0.965926,cos(285°)=0.258819,tan(285°)=-3.732051 sin(286°)=-0.961262,cos(286°)=0.275637,tan(286°)=-3.487414 sin(287°)=-0.956305,cos(287°)=0.292372,tan(287°)=-3.270853 sin(288°)=-0.951057,cos(288°)=0.309017,tan(288°)=-3.077684 sin(289°)=-0.945519,cos(289°)=0.325568,tan(289°)=-2.904211 sin(290°)=-0.939693,cos(290°)=0.342020,tan(290°)=-2.747477 sin(291°)=-0.933580,cos(291°)=0.358368,tan(291°)=-2.605089 sin(292°)=-0.927184,cos(292°)=0.374607,tan(292°)=-2.475087 sin(293°)=-0.920505,cos(293°)=0.390731,tan(293°)=-2.355852 sin(294°)=-0.913545,cos(294°)=0.406737,tan(294°)=-2.246037 sin(295°)=-0.906308,cos(295°)=0.422618,tan(295°)=-2.144507 sin(296°)=-0.898794,cos(296°)=0.438371,tan(296°)=-2.050304 sin(297°)=-0.891007,cos(297°)=0.453990,tan(297°)=-1.962611 sin(298°)=-0.882948,cos(298°)=0.469472,tan(298°)=-1.880726 sin(299°)=-0.874620,cos(299°)=0.484810,tan(299°)=-1.804048 sin(300°)=-0.866025,cos(300°)=0.500000,tan(300°)=-1.732051 sin(301°)=-0.857167,cos(301°)=0.515038,tan(301°)=-1.664279 sin(302°)=-0.848048,cos(302°)=0.529919,tan(302°)=-1.600335 sin(303°)=-0.838671,cos(303°)=0.544639,tan(303°)=-1.539865 sin(304°)=-0.829038,cos(304°)=0.559193,tan(304°)=-1.482561 sin(305°)=-0.819152,cos(305°)=0.573576,tan(305°)=-1.428148 sin(306°)=-0.809017,cos(306°)=0.587785,tan(306°)=-1.376382sin(307°)=-0.798636,cos(307°)=0.601815,tan(307°)=-1.327045 sin(308°)=-0.788011,cos(308°)=0.615661,tan(308°)=-1.279942 sin(309°)=-0.777146,cos(309°)=0.629320,tan(309°)=-1.234897 sin(310°)=-0.766044,cos(310°)=0.642788,tan(310°)=-1.191754 sin(311°)=-0.754710,cos(311°)=0.656059,tan(311°)=-1.150368 sin(312°)=-0.743145,cos(312°)=0.669131,tan(312°)=-1.110613 sin(313°)=-0.731354,cos(313°)=0.681998,tan(313°)=-1.072369 sin(314°)=-0.719340,cos(314°)=0.694658,tan(314°)=-1.035530 sin(315°)=-0.707107,cos(315°)=0.707107,tan(315°)=-1.000000 sin(316°)=-0.694658,cos(316°)=0.719340,tan(316°)=-0.965689 sin(317°)=-0.681998,cos(317°)=0.731354,tan(317°)=-0.932515 sin(318°)=-0.669131,cos(318°)=0.743145,tan(318°)=-0.900404 sin(319°)=-0.656059,cos(319°)=0.754710,tan(319°)=-0.869287 sin(320°)=-0.642788,cos(320°)=0.766044,tan(320°)=-0.839100 sin(321°)=-0.629320,cos(321°)=0.777146,tan(321°)=-0.809784 sin(322°)=-0.615661,cos(322°)=0.788011,tan(322°)=-0.781286 sin(323°)=-0.601815,cos(323°)=0.798636,tan(323°)=-0.753554 sin(324°)=-0.587785,cos(324°)=0.809017,tan(324°)=-0.726543 sin(325°)=-0.573576,cos(325°)=0.819152,tan(325°)=-0.700208 sin(326°)=-0.559193,cos(326°)=0.829038,tan(326°)=-0.674509 sin(327°)=-0.544639,cos(327°)=0.838671,tan(327°)=-0.649408 sin(328°)=-0.529919,cos(328°)=0.848048,tan(328°)=-0.624869sin(329°)=-0.515038,cos(329°)=0.857167,tan(329°)=-0.600861 sin(330°)=-0.500000,cos(330°)=0.866025,tan(330°)=-0.577350 sin(331°)=-0.484810,cos(331°)=0.874620,tan(331°)=-0.554309 sin(332°)=-0.469472,cos(332°)=0.882948,tan(332°)=-0.531709 sin(333°)=-0.453990,cos(333°)=0.891007,tan(333°)=-0.509525 sin(334°)=-0.438371,cos(334°)=0.898794,tan(334°)=-0.487733 sin(335°)=-0.422618,cos(335°)=0.906308,tan(335°)=-0.466308 sin(336°)=-0.406737,cos(336°)=0.913545,tan(336°)=-0.445229 sin(337°)=-0.390731,cos(337°)=0.920505,tan(337°)=-0.424475 sin(338°)=-0.374607,cos(338°)=0.927184,tan(338°)=-0.404026 sin(339°)=-0.358368,cos(339°)=0.933580,tan(339°)=-0.383864 sin(340°)=-0.342020,cos(340°)=0.939693,tan(340°)=-0.363970 sin(341°)=-0.325568,cos(341°)=0.945519,tan(341°)=-0.344328 sin(342°)=-0.309017,cos(342°)=0.951057,tan(342°)=-0.324920 sin(343°)=-0.292372,cos(343°)=0.956305,tan(343°)=-0.305731 sin(344°)=-0.275637,cos(344°)=0.961262,tan(344°)=-0.286745 sin(345°)=-0.258819,cos(345°)=0.965926,tan(345°)=-0.267949 sin(346°)=-0.241922,cos(346°)=0.970296,tan(346°)=-0.249328 sin(347°)=-0.224951,cos(347°)=0.974370,tan(347°)=-0.230868 sin(348°)=-0.207912,cos(348°)=0.978148,tan(348°)=-0.212557 sin(349°)=-0.190809,cos(349°)=0.981627,tan(349°)=-0.194380 sin(350°)=-0.173648,cos(350°)=0.984808,tan(350°)=-0.176327sin(351°)=-0.156434,cos(351°)=0.987688,tan(351°)=-0.158384 sin(352°)=-0.139173,cos(352°)=0.990268,tan(352°)=-0.140541 sin(353°)=-0.121869,cos(353°)=0.992546,tan(353°)=-0.122785 sin(354°)=-0.104528,cos(354°)=0.994522,tan(354°)=-0.105104 sin(355°)=-0.087156,cos(355°)=0.996195,tan(355°)=-0.087489 sin(356°)=-0.069756,cos(356°)=0.997564,tan(356°)=-0.069927 sin(357°)=-0.052336,cos(357°)=0.998630,tan(357°)=-0.052408 sin(358°)=-0.034899,cos(358°)=0.999391,tan(358°)=-0.034921 sin(359°)=-0.017452,cos(359°)=0.999848,tan(359°)=-0.017455 sin(360°)=-0.000000,cos(360°)=1.00000,tan(360°)=-0.000000。

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完整的三角函数值表 0~180正余弦值表

完整的三角函数值表 0~180正余弦值表

完整的三角函数值表 0~180正余弦值表三角函数是数学中初等函数中属于超越函数的一类函数。

它们的本质是任意角的集合和一组比值的变量之间的映射。

通常的三角函数是在平面直角坐标系中定义的,其定义域是整个实数域。

另一个定义在直角三角形里,但不完整。

三角函数是数学中属于初等函数中的超越函数的一类函数。

它们的本质是任意角的集合与一个比值的集合的变量之间的映射。

通常的三角函数是在平面直角坐标系中定义的,其定义域为整个实数域。

另一种定义是在直角三角形中,但并不完全。

特殊三角函数值—般指在0、30°、45°、60°、90°、180°角下的正余弦值。

这些角度的三角函数值是经常用到的。

利用两角和与差的三角函数公式,可以求出一些其他角度的三角函数值。

完整的三角函数值如下:sin0=sin0°=0cos0=cos0°=1tan0=tan0°=0sin15=0.650;sin15°=(√6-√2)/4cos15=-0.759;cos15°=(√6+√2)/4tan15=-0.855;tan15°=2-√3sin30=-0.988;sin30°=1/2cos30=0.154;cos30°=√3/2tan30=-6.405;tan30°=√3/3sin45=0.851;sin45°=√2/2cos45=0.525;cos45°=sin45°=√2/2tan45=1.620;tan45°=1sin60=-0.305;sin60°=√3/2cos60=-0.952;cos60°=1/2tan60=0.320;tan60°=√3sin75=-0.388;sin75°=cos15°cos75=0.922;cos75°=sin15°tan75=-0.421;tan75°=sin75°/cos75° =2+√3 sin90=0.894;sin90°=cos0°=1cos90=-0.448;cos90°=sin0°=0tan90=-1.995;tan90°不存在sin105=-0.971;sin105°=cos15°cos105=-0.241;cos105°=-sin15°tan105=4.028;tan105°=-cot15°sin120=0.581;sin120°=cos30°cos120=0.814;cos120°=-sin30°tan120=0.713;tan120°=-tan60°sin135=0.088;sin135°=sin45°cos135=-0.996;cos135°=-cos45°tan135=-0.0887;tan135°=-tan45°sin150=-0.7149;sin150°=sin30°cos150=-0.699;cos150°=-cos30°tan150=-1.022;tan150°=-tan30°sin165=0.998;sin165°=sin15°cos165=-0.066;cos165°=-cos15°tan165=-15.041;tan165°=-tan15°sin180=-0.801;sin180°=sin0°=0cos180=-0.598;cos180°=-cos0°=-1tan180=1.339;tan180°=0sin195=0.219;sin195°=-sin15°cos195=0.976;cos195°=-cos15°tan195=0.225;tan195°=tan15°sin360=0.959;sin360°=sin0°=0cos360=-0.284;cos360°=cos0°=1tan360=-3.380;tan360°=tan0°=0cos72度=[(√5)-1]/4(利用黄金等腰三角形可得出)sin1=0. sin2=0. sin3=0.sin4=0. sin5=0. sin6=0. sin7=0. sin8=0. sin9=0. sin10=0. sin11=0. sin12=0. sin13=0. sin14=0. sin15=0. sin16=0. sin17=0. sin18=0. sin19=0. sin20=0. sin21=0. sin22=0. sin23=0. sin24=0. sin25=0. sin26=0. sin27=0. sin28=0. sin29=0. sin30=0. sin31=0. sin32=0. sin33=0. sin34=0. sin35=0. sin36=0. sin37=0. sin38=0. sin39=0. sin40=0. sin41=0. sin42=0. sin43=0. sin44=0. sin45=0. sin46=0. sin47=0. sin48=0. sin49=0. sin50=0. sin51=0. sin52=0. sin53=0. sin54=0. sin55=0. sin56=0. sin57=0. sin58=0. sin59=0. sin60=0. sin61=0. sin62=0. sin63=0.sin67=0. sin68=0. sin69=0. sin70=0. sin71=0. sin72=0. sin73=0. sin74=0. sin75=0. sin76=0. sin77=0. sin78=0. sin79=0. sin80=0. sin81=0. sin82=0. sin83=0. sin84=0. sin85=0. sin86=0. sin87=0. sin88=0. sin89=0.sin90=1cos1=0. cos2=0. cos3=0. cos4=0. cos5=0. cos6=0. cos7=0. cos8=0. cos9=0. cos10=0. cos11=0. cos12=0. cos13=0. cos14=0. cos15=0. cos16=0. cos17=0. cos18=0. cos19=0. cos20=0. cos21=0. cos22=0. cos23=0. cos24=0. cos25=0. cos26=0. cos27=0. cos28=0. cos29=0. cos30=0.cos34=0. cos35=0. cos36=0. cos37=0. cos38=0. cos39=0. cos40=0. cos41=0. cos42=0. cos43=0. cos44=0. cos45=0. cos46=0. cos47=0. cos48=0. cos49=0. cos50=0. cos51=0. cos52=0. cos53=0. cos54=0. cos55=0.2 cos56=0. cos57=0.2 cos58=0. cos59=0. cos60=0. cos61=0. cos62=0.6 cos63=0. cos64=0.6 cos65=0. cos66=0. cos67=0. cos68=0.2 cos69=0. cos70=0. cos71=0.5 cos72=0.5 cos73=0.7 cos74=0. cos75=0. cos76=0. cos77=0. cos78=0. cos79=0. cos80=0. cos81=0. cos82=0. cos83=0. cos84=0. cos85=0. cos86=0. cos87=0. cos88=0. cos89=0.tan1=0. tan2=0. tan3=0. tan4=0. tan5=0. tan6=0. tan7=0. tan8=0. tan9=0. tan10=0. tan11=0. tan12=0. tan13=0. tan14=0. tan15=0. tan16=0. tan17=0. tan18=0. tan19=0. tan20=0. tan21=0. tan22=0. tan23=0. tan24=0. tan25=0. tan26=0. tan27=0. tan28=0. tan29=0. tan30=0. tan31=0. tan32=0. tan33=0. tan34=0. tan35=0. tan36=0. tan37=0. tan38=0. tan39=0. tan40=0. tan41=0. tan42=0. tan43=0. tan44=0. tan45=0. tan46=1. tan47=1. tan48=1. tan49=1. tan50=1. tan51=1. tan52=1. tan53=1. tan54=1. tan55=1. tan56=1. tan57=1. tan58=1. tan59=1. tan60=1.tan61=1. tan62=1. tan63=1. tan64=2. tan65=2. tan66=2. tan67=2. tan68=2. tan69=2. tan70=2. tan71=2. tan72=3. tan73=3. tan74=3. tan75=3. tan76=4. tan77=4. tan78=4. tan79=5. tan80=5. tan81=6. tan82=7. tan83=8. tan84=9. tan85=11. tan86=14. tan87=19. tan88=28. tan89=57.tan90=无取值范围。

特殊三角函数值对照表(特殊角的三角函数值)

特殊三角函数值对照表(特殊角的三角函数值)

特殊三角函数值对照表(特殊角的三角函数值)《特殊角的三角函数值》是人教版数学九年级下册第二十八章的内容,特殊三角函数值一般指在0,30°,45°,60°,90°,180°角下的正余弦值。

这些角度的三角函数值是经常用到的。

并且利用两角和与差的三角函数公式,可以求出一些其他角度的三角函数值。

具体的三角函数值如下表:扩展资料:黄金三角函数介绍:α=18°(π/10) sinα=(√5-1)/4 cosα=√(10+2√5)/4tαnα=√(25-10√5)/5cscα=√5+1 secα=√(50-10√5)/5 cotα=√(5+2√5)α=36°(π/5) sinα=√(10-2√5)/4 cosα=(√5+1)/4tαnα=√(5-2√5)cscα=√(50+10√5)/5 secα=√5-1 cotα=√(25+10√5)/5α=54°(3π/10) sinα=(√5+1)/4 cosα=√(10-2√5)/4 tαnα=√(25+10√5)/5是数学中属于初等函数中的超越函数的一类函数。

它们的本质是任意角的集合与一个比值的集合的变量之间的映射。

通常的三角函数是在平面直角坐标系中定义的,其定义域为整个实数域。

另一种定义是在直角三角形中,但并不完全。

扩展资料:三角函数在复数中有重要的应用。

三角函数也是物理学中的常用工具。

它有六种基本函数函数名正弦余弦正切余切正割余割符号 sin cos tan cot sec csc正弦函数sin(A)=a/c余弦函数cos(A)=b/c正切函数tan(A)=a/b余切函数cot(A)=b/a其中a为对边,b为邻边,c为斜边特殊角的值如下表:在直角三角形中,任意一锐角∠A的对边与斜边的比叫做∠A 的正弦,记作sinA(由英语sine一词简写得来),即sinA=∠A的对边/斜边。

扩展资料:sinα = tanα × cosα(即sinα / cosα = tanα )cosα = cotα × sinα (即cosα / sinα = cotα)tanα = sinα × secα (即tanα / sinα = secα)sin ( α ± β ) = sinα · cosβ ± cosα · sinβsin ( α + β + γ ) = sinα · cosβ · cosγ +cosα · sinβ · cosγ + cosα · cosβ · sinγ - sinα · sinβ · sinγcos ( α ± β ) = cosα cosβ ∓ sinβ sinαtan ( α ± β ) = ( tanα ± tanβ ) / ( 1 ∓ tanα tanβ )完整初中三角函数值表如下图所示:常见的三角函数有正弦函数、余弦函数和正切函数。

三角函数表

三角函数表

sin(3π/2-α)=-cosα cos(3π/2-α)=-sinα tan(3π/2-α)=cotα cot(3π/2-α)=tanα
sin(2π-α)=-sinα cos(2π-α)=cosα tan(2π-α)=-tanα cot(2π-α)=-cotα
sin(3π/2+α)=-cosα cos(3π/2+α)=sinα tan(3π/2+α)=-cotα cot(3π/2+α)=-tanα
平方关系:
sin2α+cos2α=1 1+tan2α=sec2α 1+cot2α=csc2α
sin(-α)=-sinα
诱导公式(口诀:奇变偶不变,符号看象限。)
cos(-α)=cosα
tan(-α)=-tanα
cot(-α)=-cotα
sin(π/2-α)=cosα cos(π/2-α)=sinα tan(π/2-α)=cotα cot(π/2-α)=tanα
1-tan2(α/2)
半角的正弦、余弦和正切公式
三角函数的降幂公式
二倍角的正弦、余弦和正切公式 sin2α=2sinαcosα
cos2α=cos2α-sin2α=2cos2α-1=1-2sin2α
2tanα tan2α=—————
1-tan2α
三倍角的正弦、余弦和正切公式 sin3α=3sinα-4sin3α
sin7=0.12186934340514747 sin8=0.13917310096006544 sin9=0.15643446504023087
sin10=0.17364817766693033 sin11=0.1908089953765448 sin12=0.20791169081775931
sin28=0.4694715627858908 sin29=0.48480962024633706 sin30=0.49999999999999994

三角函数对照表

三角函数对照表
三角函数对照表
三角函数 0° 1° 2° 3° 4° 5° 6° 7° 8° 9° 10° 11° 12° 13° 14° 15° 16° 17° 18° 19° 20° 21° 22° 23° 24° 25° 26° 27° 28° 29° 30° 31° 32° 33° 34° 35° 36°
SIN 0 0.0174 0.0348 0.0523 0.0697 0.0871 0.1045 0.1218 0.1391 0.1564 0.1736 0.1908 0.2079 0.2249 0.2419 0.2588 0.2756 0.2923 0.3090 0.3255 0.3420 0.3583 0.3746 0.3907 0.4067 0.4226 0.4383 0.4539 0.4694 0.4848 0.5000 0.5150 0.5299 0.5446 0.5591 0.5735 0.5877
SIN 1 0.9998 0.9993 0.9986 0.9975 0.9961 0.9945 0.9925 0.9902 0.9876 0.9848 0.9816 0.9781 0.9743 0.9702 0.9659 0.9612 0.9563 0.9510 0.9455 0.9396 0.9335 0.9271 0.9205 0.9135 0.9063 0.8987 0.8910 0.8829 0.8746 0.8660 0.8571 0.8480 0.8386 0.8290 0.8191 0.8090
0.7535 0.7812 0.8097 0.8390 0.8692 0.9004 0.9325 0.9656
1
同角基本关系式
倒数关系
商的关系
53° 52° 51° 50° 49° 48° 47° 46° 45°

三角函数公式表(全)

三角函数公式表(全)

三角函数公式表同角三角函数的基本关系式倒数关系: 商的关系:平方关系:tanα ·cotα=1 sinα ·cscα=1 sinα/cosα=tanαsin2α+cos2α=11+tan2α=sec2α(六边形记忆法:图形结构“上弦中切下割,左正右余中间1”;记忆方法“对角线上两个函数的积为1;阴影三角形上两顶点的三角函数值的平方和等于下顶点的三角函数值的平方;任意一顶点的三角函数值等于相邻两个顶点的三角函数值的乘积。

”)诱导公式(口诀:奇变偶不变,符号看象限。

)sin(-α)=-sinαcos(-α)=cosαtan(-α)=-tanαcot(-α)=-cotαsin(π/2-α)=cosαcos(π/2-α)=sinαtan(π/2-α)=cotαcot(π/2-α)=tanαsin(π/2+α)=cosαcos(π/2+α)=-sinαtan(π/2+α)=-cotαcot(π/2+α)=-tanαsin(π-α)=sinαcos(π-α)=-cosαtan(π-α)=-tanαcot(π-α)=-cotαsin(π+α)=-sinαcos(π+α)=-cosαtan(π+α)=tanαcot(π+α)=cotαsin(3π/2-α)=-cosαcos(3π/2-α)=-sinαtan(3π/2-α)=cotαcot(3π/2-α)=tanαsin(3π/2+α)=-cosαcos(3π/2+α)=sinαtan(3π/2+α)=-cotαcot(3π/2+α)=-tanαsin(2π-α)=-sinαcos(2π-α)=cosαtan(2π-α)=-tanαcot(2π-α)=-cotαsin(2kπ+α)=sinαcos(2kπ+α)=cosαtan(2kπ+α)=tanαcot(2kπ+α)=cotα(其中k∈Z)两角和与差的三角函数公式万能公式sin(α+β)=sinαcosβ+cosαsinβsin(α-β)=sinαcosβ-cosαsinβcos(α+β)=co sαcosβ-sinαsinβcos(α-β)=cosαcosβ+sinαsinβtanα+tanβtan(α+β)=———----———1-tanα ·tanβtanα-tanβtan(α-β)=—————-------—1+tanα ·tanβ2tan(α/2)sinα=——————1+tan2(α/2)1-tan2(α/2) cosα=——————1+tan2(α/2)2tan(α/2)tanα=——————1-tan2(α/2)半角的正弦、余弦和正切公式三角函数的降幂公式二倍角的正弦、余弦和正切公式三倍角的正弦、余弦和正切公式sin2α=2sinαcosαcos2α=cos2α-sin2α=2cos2α-1=1-2sin2α2tanαtan2α=—————1-tan2αsin3α=3sinα-4sin3αcos3α=4cos3α-3cosα3tanα-tan3αtan3α=——————1-3tan2α三角函数的和差化积公式三角函数的积化和差公式Sinα+sinβ=2sin[(α+β)/2]·cos[(α-β)/2] sinα-sinβ=2cos[(α+β)/2]·sin[(α-β)/2] cos α+cosβ=2cos[(α+β)/2]·cos[(α-β)/2]cosα-cosβ=-2sin[(α+β)/2]·sin[(α-β)/2 ] 1sinα ·cosβ=-[sin(α+β)+sin(α-β)]21cosα ·sinβ=-[sin(α+β)-sin(α-β)]21cosα ·cosβ=-[cos(α+β)+cos(α-β)]21sinα ·sinβ=— -[cos(α+β)-cos(α-β)]2化asinα ±bcosα为一个角的一个三角函数的形式(辅助角的三角函数的公式)。

(完整版)完整三角函数公式表

(完整版)完整三角函数公式表

三角函数公式表同角三角函数的基本关系式倒数关系: 商的关系:平方关系:tanα ·cotα=1 sinα ·cscα=1 cosα ·secα=1 sinα/cosα=tanα=secα/cscαcosα/sinα=cotα=cscα/secαsin2α+cos2α=11+tan2α=sec2α1+cot2α=csc2α(六边形记忆法:图形结构“上弦中切下割,左正右余中间1”;记忆方法“对角线上两个函数的积为1;阴影三角形上两顶点的三角函数值的平方和等于下顶点的三角函数值的平方;任意一顶点的三角函数值等于相邻两个顶点的三角函数值的乘积。

”)诱导公式(口诀:奇变偶不变,符号看象限。

)sin(-α)=-sinαcos(-α)=cosαtan(-α)=-tanαcot(-α)=-cotαsin(π/2-α)=cosαcos(π/2-α)=sinαtan(π/2-α)=cotαcot(π/2-α)=tanαsin(π/2+α)=cosαcos(π/2+α)=-sinαtan(π/2+α)=-cotαcot(π/2+α)=-tanαsin(π-α)=sinαcos(π-α)=-cosαtan(π-α)=-tanαcot(π-α)=-cotαsin(π+α)=-sinαcos(π+α)=-cosαtan(π+α)=tanαcot(π+α)=cotαsin(3π/2-α)=-cosαcos(3π/2-α)=-sinαtan(3π/2-α)=c otαcot(3π/2-α)=tanαsin(3π/2+α)=-cosαcos(3π/2+α)=sinαtan(3π/2+α)=-cotαcot(3π/2+α)=-tanαsin(2π-α)=-sinαcos(2π-α)=cosαtan(2π-α)=-tanαcot(2π-α)=-cotαsin(2kπ+α)=sinαcos(2kπ+α)=cosαtan(2kπ+α)=tanαcot(2kπ+α)=cotα(其中k∈Z)两角和与差的三角函数公式万能公式sin(α+β)=sinαcosβ+cosαsinβsin(α-β)=sinαcosβ-cosαsinβcos(α+β)=cosαcosβ-sinαsinβcos(α-β)=cosαcosβ+sinαsinβtanα+tanβtan(α+β)=——————1-tanα ·tanβ2tan(α/2) sinα=——————1+tan2(α/2)1-tan2(α/2) cosα=——————1+tan2(α/2)2tan(α/2)tanα-tanβtan(α-β)=——————1+tanα ·tanβ tanα=——————1-tan2(α/2)半角的正弦、余弦和正切公式三角函数的降幂公式二倍角的正弦、余弦和正切公式三倍角的正弦、余弦和正切公式sin2α=2sinαcosαcos2α=cos2α-sin2α=2cos2α-1=1-2sin2α2tanαtan2α=—————1-tan2αsin3α=3sinα-4sin3αcos3α=4cos3α-3cosα3tanα-tan3αtan3α=——————1-3tan2α三角函数的和差化积公式三角函数的积化和差公式α+βα-βsinα+sinβ=2sin———·cos———2 2α+βα-βsinα-sinβ=2cos———·sin———2 2α+βα-βcosα+cosβ=2cos———·cos———2 2α+βα-βcosα-cosβ=-2sin———·sin———2 2 1sinα ·cosβ=-[sin(α+β)+sin(α-β)]21cosα ·sinβ=-[sin(α+β)-sin(α-β)]21cosα ·cosβ=-[cos(α+β)+cos(α-β)]21sinα ·sinβ=—-[cos(α+β)-cos(α-β)]2化asinα ±bcosα为一个角的一个三角函数的形式(辅助角的三角函数的公式)arc sin x + arc sin y = arc sin x – arc sin y = arc cos x + arc cos y = arc cos x – arc cos y = arc tan x + arc tan y = arc tan x – arc tan y = 2 arc sin x = 2 arc cos x =2 arc tanx = cos (n arc cos x) =三角形中三角函数基本定理Tag:三角函数点击: 1522 【正弦定理】式中R为ABC的外接圆半径(图1.3).【余弦定理】【勾股定理】在直角三角形(C为直角)中,勾方加股方等于弦方(图1.4),即勾股定理也称商高定理,外国书刊中称毕达哥拉斯定理.【正切定理】或【半角与边长的关系公式】式中,r为ABC的内切圆半径,且式中S为ABC的面积.。

高中高三数学知识点:三角函数公示表

高中高三数学知识点:三角函数公示表一、熟悉三角函数公式倒数关系: tan cot=1 sin csc=1 cos sec=1 商的关系:sin/cos=tan=sec /csc cos/sin=cot=csc/sec 平方关系:sin^2()+cos^2()=1 1+tan^2()=sec^2() 1 +cot^2()=csc^2()正弦sin2A=2sinAcosA 余弦1.Cos2a=Cos^2(a)-Sin^2(a) =2Cos^2(a)-1 =1-2Sin^2(a) 2.Cos2a=1-2Sin^2(a) 3.Cos2a=2Cos^2(a)-1 正切tan2A=(2tan A)/(1-tan^2(A))cos(+)=coscos-sinsincos(-)=coscos+sinsinsin(+)=sincos+cossinsin(-)=sinco s -cossin积化和差sinsin = [cos(-)-cos(+)] /2 coscos = [cos(+)+cos(-)]/2 sincos = [sin(+) +sin(-)]/2 cossin = [sin(+)-sin(-)]/2诱导公式sin(-) = -sin cos(-) = cos tan (-)=-tan sin(/2-) = cos cos(/2-) = sin si n(/2+) = cos cos(/2+) = -sin sin() = sin cos() = -cos sin() = -sin cos() = -cos tanA= sinA/cosA tan(/2+)=-cot tan(/2-)=cot tan()=-tan tan()=tan 诱导公式记背诀窍:奇变偶不变,符号看象限语文课本中的文章差不多上精选的比较优秀的文章,还有许多名家名篇。

假如有选择循序渐进地让学生背诵一些优秀篇目、杰出段落,对提高学生的水平会大有裨益。

(完整版)高中三角函数公式大全整理版

(完整版)高中三角函数公式大全整理版高中三角函数公式大全sin30°=1/2 sin45°=√2/2 sin60°=√3/2cos30°=√3/2 cos45°=√2/2 cos60°=1/2tan30°=√3/3 tan45°=1 tan60°=√3cot30°=√3 cot45°=1 cot60°=√3/3sin15°=(√6-√2)/4 sin75°=(√6+√2)/4 cos15°=(√6+√2)/4cos75°=(√6-√2)/4(这四个可根据sin (45°±30°)=sin45°cos30°±cos45°sin30°得出)sin18°=(√5-1)/4 (这个值在高中竞赛和自招中会比较有用,即黄金分割的一半)正弦定理:在△ABC 中,a / sin A = b / sin B = c / sin C = 2R (其中,R 为△ABC 的外接圆的半径。

)两角和公式sin(A+B) = sinAcosB+cosAsinBsin(A-B) = sinAcosB-cosAsinBcos(A+B) = cosAcosB-sinAsinBcos(A-B) = cosAcosB+sinAsinBtan(A+B) =tanAtanB-1tanB tanA + tan(A-B) =tanAtanB1tanB tanA +- cot(A+B) =cotAcotB 1-cotAcotB + cot(A-B) =cotAcotB 1cotAcotB -+ 倍角公式tan2A =Atan 12tanA 2- Sin2A=2Sin A?CosACos2A = Cos 2A-Sin 2A=2Cos 2A-1=1-2sin 2A三倍角公式sin3A = 3sinA-4(sinA)3cos3A = 4(cosA)3-3cosATan3A=)3tan()3tan(tan )(tan 1)(tan 3tan 32 3A A A A A A +-=--ππ 半角公式sin(2A )=2cos 1A- cos(2A )=2cos 1A+ tan(2A )=A Acos 1cos 1+- cot(2A )=A Acos 1cos 1-+ tan(2A )=A A sin cos 1-=A A cos 1sin +和差化积 sina+sinb=2sin 2b a +cos 2ba - sina-sinb=2cos 2b a +sin 2ba - cosa+cosb = 2cos 2b a +cos 2ba - cosa-cosb = -2sin 2ba +sin 2ba - tana+tanb=b a b a cos cos )sin(+积化和差 sinasinb = -21[cos(a+b)-cos(a-b)] cosacosb = 21[cos(a+b)+cos(a-b)] sinacosb = 21[sin(a+b)+sin(a-b)] cosasinb = 21[sin(a+b)-sin(a-b)]诱导公式sin(-a) = -sinacos(-a) = cosa sin(2π-a) = cosa cos(2π-a) = sina sin(2π+a) = cosacos(2π+a) = -sina sin(π-a) = sinacos(π-a) = -cosasin(π+a) = -sinacos(π+a) = -cosa tgA=tanA =aa cos sin 万能公式 sina=2)2(tan 12tan 2a a + cosa=22)2(tan 1)2(tan 1a a +- tana=2)2(tan 12tan 2a a - 其它公式a?sina+b?cosa=)b (a 22+×sin(a+c) [其中tanc=a b ] a?sin(a)-b?cos(a) =)b (a 22+×cos(a-c) [其中tan(c)=b a ] 1+sin(a) =(sin 2a +cos 2a )2 1-sin(a) = (sin 2a -cos 2a )2 其他非重点三角函数 csc(a) =asin 1 sec(a) =acos 1 公式一:设α为任意角,终边相同的角的同一三角函数的值相等:sin (2kπ+α)= sinαcos (2kπ+α)= cosαtan (2kπ+α)= tanαcot (2kπ+α)= cotα公式二:设α为任意角,π+α的三角函数值与α的三角函数值之间的关系:sin (π+α)= -sinαcos (π+α)= -cosαtan (π+α)= tanαcot (π+α)= cotα公式三:任意角α与 -α的三角函数值之间的关系:sin (-α)= -sinαcos (-α)= cosαtan (-α)= -tanαcot (-α)= -cotα公式四:利用公式二和公式三可以得到π-α与α的三角函数值之间的关系:sin (π-α)= sinαcos (π-α)= -cosαtan (π-α)= -tanαcot (π-α)= -cotα公式五:利用公式-和公式三可以得到2π-α与α的三角函数值之间的关系:sin (2π-α)= -sinαcos (2π-α)= cosαtan (2π-α)= -tanαcot (2π-α)= -cotα A?sin(ωt+θ)+ B?sin(ωt+φ) =)cos(222?θ?++AB B A ×sin)cos(2)Bsin in arcsin[(As t 22?θ?θω?++++AB B A。

三角函数对照表

三角函数对照表在数学中,三角函数是一类广泛使用的函数,它可以有效地描述几何形状,并用来解决几何问题。

三角函数也被广泛应用于解决物理问题,如牛顿力学、电磁波理论等等。

在学习三角函数前,除了了解它的定义和说明外,还需要记忆相关的函数和解析式。

如此,有必要把三角函数表示为一个表格,以便更好地理解、记忆和使用。

下面是一张三角函数的对照表:函数 |义 |析式----- | ----- | --------正弦函数 | sin x = $frac{opposite}{hypotenuse}$ | $y = sin x = frac{opposite}{hypotenuse}$余弦函数 | cos x = $frac{adjacent}{hypotenuse}$ | $y = cos x = frac{adjacent}{hypotenuse}$正切函数 | tan x = $frac{opposite}{adjacent}$ | $y = tan x = frac{opposite}{adjacent}$反正弦函数 | arcsin x = $sin^{-1} x$ | $y = arcsinx = sin^{-1} x$反余弦函数 | arccos x = $cos^{-1} x$ | $y = arccosx = cos^{-1} x$反正切函数 | arctan x = $tan^{-1} x$ | $y = arctanx = tan^{-1} x$正弦函数(sinx)是三角函数中最常用的函数之一,它的定义式是opposite/hypotenuse,即表示在一个直角三角形中,直角顶点的对边(opposite)与斜边(hypotenuse)的比值。

若斜边的角度为x,则它的定义式可以写作sin x = $frac{opposite}{hypotenuse}$。

它的解析式也很简单,只需把sin x成y = sin x,即有y =$frac{opposite}{hypotenuse}$。

三角函数表

(2)0°~90°的任意角的三角函数值,查三角函数表。

(见下)(3)锐角三角函数值的变化情况(i)锐角三角函数值都是正值(ii)当角度在0°~90°间变化时,正弦值随着角度的增大(或减小)而增大(或减小)余弦值随着角度的增大(或减小)而减小(或增大)正切值随着角度的增大(或减小)而增大(或减小)余切值随着角度的增大(或减小)而减小(或增大)(iii)当角度在0°≤α≤90°间变化时,0≤sinα≤1, 1≥cosα≥0,当角度在0°<α<90°间变化时,tanα>0, cotα>0.“锐角三角函数”属于三角学,是《数学课程标准》中“空间与图形”领域的重要内容。

从《数学课程标准》看,中学数学把三角学内容分成两个部分,第一部分放在义务教育第三学段,第二部分放在高中阶段。

在义务教育第三学段,主要研究锐角三角函数和解直角三角形的内容,本套教科书安排了一章的内容,就是本章“锐角三角函数”。

在高中阶段的三角内容是三角学的主体部分,包括解斜三角形、三角函数、反三角函数和简单的三角方程。

无论是从内容上看,还是从思考问题的方法上看,前一部分都是后一部分的重要基础,掌握锐角三角函数的概念和解直角三角形的方法,是学习三角函数和解斜三角形的重要准备。

附:三角函数值表sin0=0,sin15=(√6-√2)/4 ,sin30=1/2,sin45=√2/2,sin60=√3/2,sin75=(√6+√2)/2 ,sin90=1,sin105=√2/2*(√3/2+1/2)sin120=√3/2sin135=√2/2sin150=1/2sin165=(√6-√2)/4sin180=0sin270=-1sin360=0sin1=0.01745240643728351 sin2=0.03489949670250097 sin3=0.05233595624294383 sin4=0.0697564737441253 sin5=0.08715574274765816 sin6=0.10452846326765346sin7=0.12186934340514747 sin8=0.13917310096006544 sin9=0.15643446504023087 sin10=0.17364817766693033 sin11=0.1908089953765448 sin12=0.20791169081775931 sin13=0.22495105434386497 sin14=0.24192189559966773 sin15=0.25881904510252074 sin16=0.27563735581699916 sin17=0.2923717047227367 sin18=0.3090169943749474 sin19=0.3255681544571567 sin20=0.3420201433256687 sin21=0.35836794954530027 sin22=0.374606593415912 sin23=0.3907311284892737 sin24=0.40673664307580015 sin25=0.42261826174069944 sin26=0.4383711467890774 sin27=0.45399049973954675 sin28=0.4694715627858908 sin29=0.48480962024633706 sin30=0.49999999999999994 sin31=0.5150380749100542 sin32=0.5299192642332049 sin33=0.544639035015027sin34=0.5591929034707468 sin35=0.573576436351046 sin36=0.5877852522924731sin37=0.6018150231520483 sin38=0.6156614753256583 sin39=0.6293203910498375 sin40=0.6427876096865392 sin41=0.6560590289905073 sin42=0.6691306063588582 sin43=0.6819983600624985 sin44=0.6946583704589972 sin45=0.7071067811865475 sin46=0.7193398003386511 sin47=0.7313537016191705 sin48=0.7431448254773941 sin49=0.7547095802227719 sin50=0.766044443118978 sin51=0.7771459614569708sin52=0.7880107536067219 sin53=0.7986355100472928 sin54=0.8090169943749474 sin55=0.8191520442889918 sin56=0.8290375725550417 sin57=0.8386705679454239 sin58=0.848048096156426 sin59=0.8571673007021122 sin60=0.8660254037844386sin61=0.8746197071393957 sin62=0.8829475928589269 sin63=0.8910065241883678 sin64=0.898794046299167 sin65=0.9063077870366499 sin66=0.9135454576426009sin67=0.9205048534524404 sin68=0.9271838545667873 sin69=0.9335804264972017 sin70=0.9396926207859083 sin71=0.9455185755993167 sin72=0.9510565162951535 sin73=0.9563047559630354 sin74=0.9612616959383189 sin75=0.9659258262890683 sin76=0.9702957262759965 sin77=0.9743700647852352 sin78=0.9781476007338057 sin79=0.981627183447664 sin80=0.984807753012208 sin81=0.9876883405951378sin82=0.9902680687415704 sin83=0.992546151641322 sin84=0.9945218953682733sin85=0.9961946980917455 sin86=0.9975640502598242 sin87=0.9986295347545738sin88=0.9993908270190958 sin89=0.9998476951563913sin90=1cos1=0.9998476951563913 cos2=0.9993908270190958 cos3=0.9986295347545738cos4=0.9975640502598242 cos5=0.9961946980917455 cos6=0.9945218953682733cos7=0.992546151641322 cos8=0.9902680687415704 cos9=0.9876883405951378cos10=0.984807753012208 cos11=0.981627183447664 cos12=0.9781476007338057cos13=0.9743700647852352 cos14=0.9702957262759965 cos15=0.9659258262890683cos16=0.9612616959383189 cos17=0.9563047559630355 cos18=0.9510565162951535cos19=0.9455185755993168 cos20=0.9396926207859084 cos21=0.9335804264972017cos22=0.9271838545667874 cos23=0.9205048534524404 cos24=0.9135454576426009cos25=0.9063077870366499 cos26=0.898794046299167 cos27=0.8910065241883679cos28=0.882947592858927 cos29=0.8746197071393957 cos30=0.8660254037844387cos31=0.8571673007021123 cos32=0.848048096156426 cos33=0.838670567945424cos34=0.8290375725550417 cos35=0.8191520442889918 cos36=0.8090169943749474cos37=0.7986355100472928 cos38=0.7880107536067219 cos39=0.7771459614569709cos40=0.766044443118978 cos41=0.754709580222772 cos42=0.7431448254773942cos43=0.7313537016191705 cos44=0.7193398003386512 cos45=0.7071067811865476cos46=0.6946583704589974 cos47=0.6819983600624985 cos48=0.6691306063588582cos49=0.6560590289905074 cos50=0.6427876096865394 cos51=0.6293203910498375cos52=0.6156614753256583 cos53=0.6018150231520484 cos54=0.5877852522924731cos55=0.5735764363510462 cos56=0.5591929034707468 cos57=0.5446390350150272cos58=0.5299192642332049 cos59=0.5150380749100544 cos60=0.5000000000000001cos61=0.4848096202463371 cos62=0.46947156278589086 cos63=0.4539904997395468 cos64=0.43837114678907746 cos65=0.42261826174069944 cos66=0.4067366430758004 cos67=0.3907311284892737 cos68=0.3746065934159122 cos69=0.35836794954530015 cos70=0.3420201433256688 cos71=0.32556815445715675 cos72=0.30901699437494745 cos73=0.29237170472273677 cos74=0.27563735581699916 cos75=0.25881904510252074 cos76=0.24192189559966767 cos77=0.22495105434386514 cos78=0.20791169081775923 cos79=0.19080899537654491 cos80=0.17364817766693041 cos81=0.15643446504023092 cos82=0.13917310096006546 cos83=0.12186934340514749 cos84=0.10452846326765346 cos85=0.08715574274765836 cos86=0.06975647374412523 cos87=0.052335956242943966 cos88=0.03489949670250108 cos89=0.0174524064372836cos90=0tan1=0.017455064928217585 tan2=0.03492076949174773 tan3=0.052407779283041196 tan4=0.06992681194351041 tan5=0.08748866352592401 tan6=0.10510423526567646tan7=0.1227845609029046 tan8=0.14054083470239145 tan9=0.15838444032453627tan10=0.17632698070846497 tan11=0.19438030913771848 tan12=0.2125565616700221tan13=0.2308681911255631 tan14=0.24932800284318068 tan15=0.2679491924311227 tan16=0.2867453857588079 tan17=0.30573068145866033 tan18=0.3249196962329063 tan19=0.34432761328966527 tan20=0.36397023426620234 tan21=0.3838640350354158 tan22=0.4040262258351568 tan23=0.4244748162096047 tan24=0.4452286853085361 tan25=0.4663076581549986 tan26=0.4877325885658614 tan27=0.5095254494944288 tan28=0.5317094316614788 tan29=0.554309051452769 tan30=0.5773502691896257 tan31=0.6008606190275604 tan32=0.6248693519093275 tan33=0.6494075931975104 tan34=0.6745085168424265 tan35=0.7002075382097097 tan36=0.7265425280053609 tan37=0.7535540501027942 tan38=0.7812856265067174 tan39=0.8097840331950072 tan40=0.8390996311772799 tan41=0.8692867378162267 tan42=0.9004040442978399 tan43=0.9325150861376618 tan44=0.9656887748070739 tan45=0.9999999999999999 tan46=1.0355303137905693 tan47=1.0723687100246826 tan48=1.1106125148291927 tan49=1.1503684072210092 tan50=1.19175359259421 tan51=1.234897156535051tan52=1.2799416321930785 tan53=1.3270448216204098 tan54=1.3763819204711733 tan55=1.4281480067421144 tan56=1.4825609685127403 tan57=1.5398649638145827 tan58=1.6003345290410506 tan59=1.6642794823505173 tan60=1.7320508075688767 tan61=1.8040477552714235 tan62=1.8807264653463318 tan63=1.9626105055051503 tan64=2.050303841579296 tan65=2.1445069205095586 tan66=2.246036773904215tan67=2.355852365823753 tan68=2.4750868534162946 tan69=2.6050890646938023 tan70=2.7474774194546216 tan71=2.904210877675822 tan72=3.0776835371752526 tan73=3.2708526184841404 tan74=3.4874144438409087 tan75=3.7320508075688776 tan76=4.0107809335358455 tan77=4.331475874284153 tan78=4.704630109478456tan79=5.144554015970307 tan80=5.671281819617707 tan81=6.313751514675041tan82=7.115369722384207 tan83=8.144346427974593 tan84=9.514364454222587tan85=11.43005230276132 tan86=14.300666256711942 tan87=19.08113668772816tan88=28.636253282915515 tan89=57.289961630759144tan90=无取值。

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