正弦余弦正切值对照表高中
sin tan cos三角函数表高中

sin tan cos三角函数表高中
下面列出了高中数学中常用的sin、cos和tan三角函数表格,方便同学们快速查阅。
角度(度)角度(弧
度)
正弦
(sin)
余弦
(cos)
正切
(tan)
00010
30π/61/2√3/2√3/3
45π/4√2/2√2/21
60π/3√3/21/2√3
90π/210无穷大
利用这个三角函数表格,我们可以获得不同角度下的正弦、余弦和正切值,进而解决各种三角函数相关的问题。
在求解三角函数问题时,可以利用这个表格帮助我们快速定位角度与对应函数值,提高解题效率。
除了以上列出的几个常用角度外,我们还可以通过特殊角
的关系,根据基本角(0°、30°、45°、60°、90°)的正弦、余弦和正切值,推导出其他角度的三角函数值。
通过不断练习和熟练掌握三角函数的数值,可以为高中数学学习打下坚实的基础。
希望这份三角函数表格能够帮助同学们更好地理解和运用
三角函数知识,解决数学学习中遇到的问题。
愿大家在数学学习的道路上取得更多的成就!。
高中常用角的三角函数值

高中常用角的三角函数值在高中数学中,三角函数是一个重要的概念,而常用角的三角函数值更是我们需要熟练掌握的内容。
在本文中,我们将针对高中常用角,即0度、30度、45度、60度和90度,讨论它们的正弦、余弦和正切值。
0度角对于0度角来说,正弦值为0,余弦值为1,正切值为0。
这是因为0度角位于坐标系的正方向横轴上,正弦对应纵坐标,余弦对应横坐标,正切对应纵坐标与横坐标的比值,在这个情况下就容易计算出结果。
30度角考虑到30度角的特殊性,我们知道它对应的三角形是一个等边三角形的30度角。
所以在此,正弦值为1/2,余弦值为√3/2,正切值为1/√3。
45度角45度角也是一个特殊的角度,对应一个45-45-90三角形。
正弦值为√2/2,余弦值为√2/2,正切值为1。
60度角接下来是60度角,对应一个边长为1的正三角形。
在这个情况下,正弦值为√3/2,余弦值为1/2,正切值为√3。
90度角最后是90度角,也就是直角。
在直角三角形中,正弦值为1,余弦值为0,正切值不存在(因为在直角三角形中,直角边对应的值为0,而正切值是除以余弦值)。
通过上面的讨论,我们可以总结出高中常用角的三角函数值表格如下:角度正弦值余弦值正切值0度01030度1/2√3/21/√345度√2/2√2/2160度√3/21/2√390度10不存在在高中数学学习中,熟练掌握这些常用角的三角函数值是非常重要的,因为它们在解决各种数学问题中起着关键作用。
希望通过本文的介绍,能对读者有所帮助,加深对这些数学概念的理解。
三角函数值对照表

三角函数值对照表
弧度和角度的关系
在三角函数中,我们通常使用弧度来表示角度的大小。
弧
度和角度的转换关系是π 弧度 = 180°,即π 弧度等于180度。
因此,在进行角度和弧度的转换时,可以通过简单的换算来实现。
正弦函数的值对照表
正弦函数是三角函数中的一种,用sin表示。
下面是角度
与正弦函数值的对照表:
角度(°)弧度(rad)正弦值
000
30π/61/2
45π/4√2/2
60π/3√3/2
90π/21
余弦函数的值对照表
余弦函数是三角函数中的一种,用cos表示。
下面是角度
与余弦函数值的对照表:
角度(°)弧度(rad)余弦值
001
30π/6√3/2
45π/4√2/2
60π/31/2
90π/20
正切函数的值对照表
正切函数是三角函数中的一种,用tan表示。
下面是角度与正切函数值的对照表:
角度(°)弧度(rad)正切值
000
30π/6√3/3
45π/41
60π/3√3
90π/2未定义
总结
通过以上对照表可以清晰地显示出不同角度下三角函数的值,对于理解三角函数在不同角度下的表现具有重要意义,也方便我们在数学计算中的应用。
熟练掌握三角函数值的对照表有助于提高数学运算效率,希望对您有所帮助。
正弦余弦值

1、sin0°=02、sin90°=13、sin180°=04、cos0°=15、cos90°=06、cos180°=-17、sin-30°=-1/28、sin-45°=-√2/29、sin-60°=-√3/210、sin-90°=-111、cos-30°=√3/2(1)特殊角三角函数值 sin0=0 sin30=0.5 sin45=0.7071 二分之根号2 sin60=0.8660 二分之根号3 sin90=1 cos0=1 cos30=0.866025404 二分之根号3 cos45=0.707106781 二分之根号2 cos60=0.5 cos90=0 tan0=0 tan30=0.577350269 三分之根号3 tan45=1tan60=1.732050808 根号3 tan90=无 cot0=无 cot30=1.732050808 根号3 cot45=1cot60=0.577350269 三分之根号3 cot90=0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=√3/2 sin135=√2/2sin150=1/2 sin165=(√6-√2)/4sin180=0sin270=-1sin360=0sin1=0.017452401.诱导公式sin(-a)=-sin(a)cos(-a)=cos(a)sin(2π-a)=cos(a)cos(2π-a)=sin(a)sin(2π+a)=cos(a)cos(2π+a)=-sin(a)sin(π-a)=sin(a)cos(π-a)=-cos(a)sin(π+a)=-sin(a)cos(π+a)=-cos(a)tgA=tanA=sinAcosA2.两角和与差的三角函数sin(a+b)=sin(a)cos(b)+cos(α)sin(b)cos(a+b)=cos(a)cos(b)-sin(a)sin(b)sin(a-b)=sin(a)cos(b)-cos(a)sin(b)cos(a-b)=cos(a)cos(b)+sin(a)sin(b)tan(a+b)=tan(a)+tan(b)1-tan(a)tan(b)tan(a-b)=tan(a)-tan(b)1+tan(a)tan(b)3.和差化积公式sin(a)+sin(b)=2sin(a+b2)cos(a-b2)sin(a)−sin(b)=2c os(a+b2)sin(a-b2)cos(a)+cos(b)=2cos(a+b2)cos(a-b2)cos(a)-cos(b)=-2sin(a+b2)sin(a-b2)4.积化和差公式 (上面公式反过来就得到了)sin(a)sin(b)=-12⋅[cos(a+b)-cos(a-b)]cos(a)cos(b)=12⋅[cos(a+b)+cos(a-b)]sin(a)cos(b)=12⋅[sin(a+b)+sin(a-b)]5.二倍角公式sin(2a)=2sin(a)cos(a)cos(2a)=cos2(a)-sin2(a)=2cos2(a)-1=1-2sin2(a) 6.半角公式sin2(a2)=1-cos(a)2cos2(a2)=1+cos(a)2tan(a2)=1-cos(a)sin(a)=sina1+cos(a)7.万能公式sin(a)=2tan(a2)1+tan2(a2)cos(a)=1-tan2(a2)1+tan2(a2)tan(a)=2tan(a2)1-tan2(a2)8.其它公式(推导出来的 )a⋅sin(a)+b⋅cos(a)=a2+b2sin(a+c) 其中 tan(c)=ba a⋅sin(a)-b⋅cos(a)=a2+b2cos(a-c) 其中 tan(c)=ab 1+sin(a)=(sin(a2)+cos(a2))21-sin(a)=(sin(a2)-cos(a2))2csc(a)=1sin(a)sec(a)=1cos(a)。
常用正弦余弦正切值表

常用正弦余弦正切值表常用正弦余弦正切值表在数学学习中,我们经常需要使用三角函数中的正弦、余弦、正切值进行计算。
以下是常用的正弦余弦正切值表,希望对读者有所帮助。
正弦值表:角度正弦值0° 030° 0.545°0.707160° 0.86690° 1120° 0.866135° 0.7071150° 0.5180° 0余弦值表:角度余弦值0° 130° 0.86645°0.707160° 0.590° 0120° -0.5135° -0.7071150° -0.866180° -1正切值表:角度正切值0° 030° 1.73245° 160° 0.577490°无穷大(不存在)120° -0.5774135° -1150° -1.732180° 0上述表格中,为了方便记忆,我们可以把特定角度上的正弦、余弦、正切值(例如0、30、45、60、90)记住,由此可以推知其他角度上的值。
同时,需要注意的是,在计算过程中,若是角度不属于含有特殊值的角度,则需要借助计算器使用三角函数求出在计算的角度上的三角函数值。
除了正弦、余弦、正切函数之外,还有它们的倒数函数、余割函数和正割函数等,它们在数学的应用领域中有着广泛的应用。
对于初学者来说,要把握好三角函数的基础知识,理解其定义和性质,才能更好地应用到实际计算中去。
总之,掌握常用三角函数的正弦、余弦、正切值表对于数学学习和实际应用都非常重要。
我们要不断地巩固和深入理解,以提高自己的数学素养。
常用正弦余弦正切值表

常用正弦余弦正切值表一、简介正弦、余弦和正切是三角函数中的重要概念之一。
它们在数学、物理和工程学中都有广泛的应用。
正弦、余弦和正切值表提供了这些三角函数在特定角度下的数值结果,使得计算和研究更加方便和高效。
二、正弦、余弦和正切的定义1. 正弦函数(Sine Function)正弦函数(简写为sin)表示一个角的对边与斜边的比值。
在一个直角三角形中,正弦值等于对边长度除以斜边长度。
正弦函数的取值范围介于-1和1之间。
2. 余弦函数(Cosine Function)余弦函数(简写为cos)表示一个角的邻边与斜边的比值。
在一个直角三角形中,余弦值等于邻边长度除以斜边长度。
余弦函数的取值范围同样介于-1和1之间。
3. 正切函数(Tangent Function)正切函数(简写为tan)表示一个角的对边与邻边的比值。
在一个直角三角形中,正切值等于对边长度除以邻边长度。
正切函数的取值范围是整个实数集合。
三、常用正弦、余弦和正切值表下面是常见角度(以度为单位)的正弦、余弦和正切值表:角度正弦值余弦值正切值0 0 1 030 0.5 √3/2 √3/345 √2/2 √2/2 160 √3/2 0.5 √390 1 0 无穷大(不存在)注意:表中的值都是取近似值,并非精确值。
在实际计算中,可以使用更高精度的值进行计算。
四、使用正弦、余弦和正切值表的示例以下是如何使用正弦、余弦和正切值表进行计算的示例:示例1:计算角度为60度的正弦、余弦和正切值。
根据表中的数值,我们可以得到角度为60度的正弦、余弦和正切值如下:正弦60度= √3/2余弦60度 = 0.5正切60度= √3示例2:计算角度为45度的余弦值。
根据表中的数值,我们可以得到角度为45度的余弦值为√2/2。
通过正弦、余弦和正切值表,我们可以快速地得到特定角度下的三角函数值,而无需进行复杂的计算。
这对于数学问题的解决、物体运动的描述以及工程设计中的角度处理都非常有用。
高中物理三角函数值表格

高中物理 - 三角函数值表格在高中物理学习过程中,三角函数是一个重要的数学工具,常常用于描述物理问题中的各种关系。
三角函数包括正弦、余弦、正切等函数,它们的数值在一定角度范围内是固定的,可以通过表格的形式进行整理和查阅。
正弦函数值表格正弦函数是一个周期函数,其值在每个周期内都是循环的。
下表列出了正弦函数在0°至360°范围内的取值:角度(度)正弦值00300.5450.707600.8669011200.8661350.7071500.51800210-0.5225-0.707240-0.866270-1300-0.866315-0.707330-0.53600余弦函数值表格余弦函数也是一个周期函数,其值同样在每个周期内循环变化。
下表是余弦函数在0°至360°范围内的取值:角度(度)余弦值01300.866450.707600.5900120-0.5135-0.707150-0.866180-1210-0.866225-0.707240-0.527003000.53150.7073300.8663601正切函数值表格正切函数的周期性比正弦、余弦函数更强,其在0°至360°范围内的取值如下:角度(度)正切值00300.57745160 1.73290无穷大120-1.732135-1150-0.57718002100.5772251240 1.732270无穷大300-1.732315-1330-0.5773600这些三角函数的数值表格可以帮助高中物理学生更好地理解三角函数的性质和变化规律,有助于解决实际物理问题中的计算和分析。
读者在学习过程中可以通过表格查找需要的数值,加深对三角函数的理解。
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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正弦余弦正切值对照表高中
正弦余弦正切值对照表
1. sin(0°) = 0, cos(0°) = 1, tan(0°) = 0
2. sin(30°) = 0.5, cos(30°) = 0.866, tan(30°) = 0.577
3. sin(45°) = 0.707, cos(45°) = 0.707, tan(45°) = 1
4. sin(60°) = 0.866, cos(60°) = 0.5, tan(60°) = 1.732
5. sin(90°) = 1, cos(90°) = 0, tan(90°) = 无限大
从数学层面上讲,正弦函数(sin)是每个极度(omnik)的角度将其值
变成一条正弦曲线,而余弦函数(cos)是每个极度倾向于变成一条余
弦曲线。
正切函数(tan)则是极角轴上变换程度跟随一条正切曲线。
下面我们将表述几个关键点:
1. 当角度为0°时,有正弦值为0,余弦值为1,正切值为0,也就是说
x轴的正方向和y轴的正方向垂直,所以正切值为0。
2. 当角度为30°时,有正弦值为0.5,余弦值为0.866,正切值为0.577,此时正切值就表示x轴和y轴的变形程度,向左倾斜了30°,正切值即0.577。
3. 当角度为45°时,有正弦值为0.707,余弦值为0.707,正切值为1,
我们可以推断出数学中45度就是一个直角,所以正弦值和余弦值是完
全相等的,自然正切就等于1。
4. 当角度为60°时,有正弦值为0.866,余弦值为0.5,正切值为1.732,此时正切值表示了x轴和y轴的变形程度,向左倾斜了60°,正切值等
于1.732。
5. 当角度为90°时,有正弦值为1,余弦值为0,正切值为无限大,由
于90°代表一个垂直,即x轴改变了90°,y轴完全不动,所以正切值
此时正好成为正无穷大。
总之,任何一个数学角度都可以根据正弦余弦正切值对照表来获得它
的三个函数值。