在数学课上我们常提到的正弦，余弦0度，90度，180度分别等于多少。余弦值0到180、360的值是多呢，很多小伙伴想了解关于余弦值角度对照表的一些详细内容，下面是小编整理的与余弦值角度对照表相关的信息分享给大家，希望对大家有所帮助呢。
正弦，余弦0度，90度，180度分别等于多少
sin0°=0，cos0°=1;sin90°=1，cos90°=0;sin180°=0，cos180°=-1。
结果分析
1、当角度为0°时，角的两边重合，在y轴的取值为0，所以sin0°=0。
2、cosx=邻边/斜边，x=0时，斜边和邻边相等，所以cos0°=1。
3、sinα=r/y，r是单位圆的半径。当α=90度时，r=y，所以sin90度=1。
4、余弦是邻边与斜边之比，90°直角的对边是斜边，长度为0，所以cos90°=0。
5、sin180°=sin(90°+90°)=sin90°cos90°+cos90°sin90°=0，所以sin180°=0。
6、设180°角的终边上一点P(x，0)到原点的距离是r则r=-x，根据三角函数的定义得cos180°=x/r=x/(-x)=-1，所以，cos180°=-1。
公式关系
1、平方和关系
(sinα)^2+(cosα)^2=1
2、积的关系
sinα=tanα×cosα(即sinα/cosα=tanα)
cosα=cotα×sinα(即cosα/sinα=cotα)
tanα=sinα×secα(即tanα/sinα=secα)
正弦函数的定理及运用
在一个三角形中，各边和它所对角的正弦的比相等，即a/sinA=b/sinB=c/sinC
S△=c^2sinAsinB/2sin(A+B)(S△为三角形的面积，三个角为∠A∠B∠C，对边分别为a,b,c，)
S△=1/2acsinB=1/2bcsinA=1/2absinC(三个角为∠A∠B∠C，对边分别为a,b,c，参见三角函数)
另外，当sin值在180~360之间会出现负数，在360以上则会重复。
诱导公式
sin(2kπ+α)=sinα
cos(2kπ+α)=cosα
tan(2kπ+α)=tanα
cot(2kπ+α)=cotα
sec(2kπ+α)=secα
正弦余弦的所有特殊角的值
特殊角的值如下：
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·sinβ
sin(α+β+γ)=sinα·cosβ·cosγ+cosα·sinβ·cosγ+cosα·cosβ·sinγ-sinα·sinβ·sinγ
cos(α±β)=cosαcosβsinβsinα
tan(α±β)=(tanα±tanβ)/(1tanαtanβ)
余弦值角度对照表
余弦值角度对照表0到360
cos(0°) = 1
cos(1°) = 0.999848
cos(2°) = 0.999391
cos(3°) = 0.99863
cos(4°) = 0.997564
cos(5°) = 0.996195
cos(6°) = 0.994522
cos(7°) = 0.992546
cos(8°) = 0.990268
cos(9°) = 0.987688
cos(10°) = 0.984808
cos(11°) = 0.981627
cos(12°) = 0.978148
cos(13°) = 0.97437
cos(14°) = 0.970296
cos(15°) = 0.965926
cos(16°) = 0.961262
cos(17°) = 0.956305
cos(18°) = 0.951057
cos(19°) = 0.945519
cos(20°) = 0.939693
cos(21°) = 0.93358
cos(22°) = 0.927184
cos(23°) = 0.920505
cos(24°) = 0.913545
cos(25°) = 0.906308
cos(26°) = 0.898794
cos(27°) = 0.891007
cos(28°) = 0.882948
cos(29°) = 0.87462
cos(30°) = 0.866025
cos(31°) = 0.857167
cos(32°) = 0.848048
cos(33°) = 0.838671
cos(34°) = 0.829038
cos(35°) = 0.819152
cos(36°) = 0.809017
cos(37°) = 0.798636
cos(38°) = 0.788011
cos(39°) = 0.777146
cos(40°) = 0.766044
cos(41°) = 0.75471
cos(42°) = 0.743145
cos(43°) = 0.731354
cos(44°) = 0.71934
cos(45°) = 0.707107
cos(46°) = 0.694658
cos(47°) = 0.681998
cos(48°) = 0.669131
cos(49°) = 0.656059
cos(50°) = 0.642788
cos(51°) = 0.62932
cos(52°) = 0.615661
cos(53°) = 0.601815
cos(54°) = 0.587785
cos(55°) = 0.573576
cos(56°) = 0.559193
cos(57°) = 0.544639
cos(58°) = 0.529919
cos(59°) = 0.515038
cos(60°) = 0.5
cos(61°) = 0.48481
cos(62°) = 0.469472
cos(63°) = 0.45399
cos(64°) = 0.438371
cos(65°) = 0.422618
cos(66°) = 0.406737
cos(67°) = 0.390731
cos(68°) = 0.374607
cos(69°) = 0.358368
cos(70°) = 0.34202
cos(71°) = 0.325568
cos(72°) = 0.309017
cos(73°) = 0.292372
cos(74°) = 0.275637
cos(75°) = 0.258819
cos(76°) = 0.241922
cos(77°) = 0.224951
cos(78°) = 0.207912
cos(79°) = 0.190809
cos(80°) = 0.173648
cos(81°) = 0.156434
cos(82°) = 0.139173
cos(83°) = 0.121869
cos(84°) = 0.104528
cos(85°) = 0.087156
cos(86°) = 0.069756
cos(87°) = 0.052336
cos(88°) = 0.034899
cos(89°) = 0.017452
cos(90°) = 0
cos(91°) = -0.017452
cos(92°) = -0.034899
cos(93°) = -0.052336
cos(94°) = -0.069756
cos(95°) = -0.087156
cos(96°) = -0.104528
cos(97°) = -0.121869
cos(98°) = -0.139173
cos(99°) = -0.156434
cos(100°) = -0.173648
cos(101°) = -0.190809
cos(102°) = -0.207912
cos(103°) = -0.224951
cos(104°) = -0.241922
cos(105°) = -0.258819
cos(106°) = -0.275637
cos(107°) = -0.292372
cos(108°) = -0.309017
cos(109°) = -0.325568
cos(110°) = -0.34202
cos(111°) = -0.358368
cos(112°) = -0.374607
cos(113°) = -0.390731
cos(114°) = -0.406737
cos(115°) = -0.422618
cos(116°) = -0.438371
cos(117°) = -0.45399
cos(118°) = -0.469472
cos(119°) = -0.48481
cos(120°) = -0.5
cos(121°) = -0.515038
cos(122°) = -0.529919
cos(123°) = -0.544639
cos(124°) = -0.559193
cos(125°) = -0.573576
cos(126°) = -0.587785
cos(127°) = -0.601815
cos(128°) = -0.615661
cos(129°) = -0.62932
cos(130°) = -0.642788
cos(131°) = -0.656059
cos(132°) = -0.669131
(133°) = -0.681998
cos(134°) = -0.694658
cos(135°) = -0.707107
cos(136°) = -0.71934
cos(137°) = -0.731354
cos(138°) = -0.743145
cos(139°) = -0.75471
cos(140°) = -0.766044
cos(141°) = -0.777146
cos(142°) = -0.788011
cos(143°) = -0.798636
cos(144°) = -0.809017
cos(145°) = -0.819152
cos(146°) = -0.829038
cos(147°) = -0.838671
cos(148°) = -0.848048
cos(149°) = -0.857167
cos(150°) = -0.866025
cos(151°) = -0.87462
cos(152°) = -0.882948
cos(153°) = -0.891007
cos(154°) = -0.898794
cos(155°) = -0.906308
cos(156°) = -0.913545
cos(157°) = -0.920505
cos(158°) = -0.927184
cos(159°) = -0.93358
cos(160°) = -0.939693
cos(161°) = -0.945519
cos(162°) = -0.951057
cos(163°) = -0.956305
cos(164°) = -0.961262
cos(165°) = -0.965926
cos(166°) = -0.970296
cos(167°) = -0.97437
cos(168°) = -0.978148
cos(169°) = -0.981627
cos(170°) = -0.984808
cos(171°) = -0.987688
cos(172°) = -0.990268
cos(173°) = -0.992546
cos(174°) = -0.994522
cos(175°) = -0.996195
cos(176°) = -0.997564
cos(177°) = -0.99863
cos(178°) = -0.999391
cos(179°) = -0.999848
cos(180°) = -1
cos(181°) = -0.999848
cos(182°) = -0.999391
cos(183°) = -0.99863
cos(184°) = -0.997564
cos(185°) = -0.996195
cos(186°) = -0.994522
cos(187°) = -0.992546
cos(188°) = -0.990268
cos(189°) = -0.987688
cos(190°) = -0.984808
cos(191°) = -0.981627
cos(192°) = -0.978148
cos(193°) = -0.97437
cos(194°) = -0.970296
cos(195°) = -0.965926
cos(196°) = -0.961262
cos(197°) = -0.956305
cos(198°) = -0.951057
cos(199°) = -0.945519
cos(200°) = -0.939693
cos(201°) = -0.93358
cos(202°) = -0.927184
cos(203°) = -0.920505
cos(204°) = -0.913545
cos(205°) = -0.906308
cos(206°) = -0.898794
cos(207°) = -0.891007
cos(208°) = -0.882948
cos(209°) = -0.87462
cos(210°) = -0.866025
cos(211°) = -0.857167
cos(212°) = -0.848048
cos(213°) = -0.838671
cos(214°) = -0.829038
cos(215°) = -0.819152
cos(216°) = -0.809017
cos(217°) = -0.798636
cos(218°) = -0.788011
cos(219°) = -0.777146
cos(220°) = -0.766044
cos(221°) = -0.75471
cos(222°) = -0.743145
cos(223°) = -0.731354
cos(224°) = -0.71934
cos(225°) = -0.707107
cos(226°) = -0.694658
cos(227°) = -0.681998
cos(228°) = -0.669131
cos(229°) = -0.656059
cos(230°) = -0.642788
cos(231°) = -0.62932
cos(232°) = -0.615661
cos(233°) = -0.601815
cos(234°) = -0.587785
cos(235°) = -0.573576
cos(236°) = -0.559193
cos(237°) = -0.544639
cos(238°) = -0.529919
cos(239°) = -0.515038
cos(240°) = -0.5
cos(241°) = -0.48481
cos(242°) = -0.469472
cos(243°) = -0.45399
cos(244°) = -0.438371
cos(245°) = -0.422618
cos(246°) = -0.406737
cos(247°) = -0.390731
cos(248°) = -0.374607
cos(249°) = -0.358368
cos(250°) = -0.34202
cos(251°) = -0.325568
cos(252°) = -0.309017
cos(253°) = -0.292372
cos(254°) = -0.275637
cos(255°) = -0.258819
cos(256°) = -0.241922
cos(257°) = -0.224951
cos(258°) = -0.207912
cos(259°) = -0.190809
cos(260°) = -0.173648
cos(261°) = -0.156434
cos(262°) = -0.139173
cos(263°) = -0.121869
cos(264°) = -0.104528
cos(265°) = -0.087156
cos(266°) = -0.069756
cos(267°) = -0.052336
cos(268°) = -0.034899
cos(269°) = -0.017452
cos(270°) = -0
cos(271°) = 0.017452
cos(272°) = 0.034899
cos(273°) = 0.052336
cos(274°) = 0.069756
cos(275°) = 0.087156
cos(276°) = 0.104528
cos(277°) = 0.121869
cos(278°) = 0.139173
cos(279°) = 0.156434
cos(280°) = 0.173648
cos(281°) = 0.190809
cos(282°) = 0.207912
cos(283°) = 0.224951
cos(284°) = 0.241922
cos(285°) = 0.258819
cos(286°) = 0.275637
cos(287°) = 0.292372
cos(288°) = 0.309017
cos(289°) = 0.325568
cos(290°) = 0.34202
cos(291°) = 0.358368
cos(292°) = 0.374607
cos(293°) = 0.390731
cos(294°) = 0.406737
cos(295°) = 0.422618
cos(296°) = 0.438371
cos(297°) = 0.45399
cos(298°) = 0.469472
cos(299°) = 0.48481
cos(300°) = 0.5
cos(301°) = 0.515038
cos(302°) = 0.529919
cos(303°) = 0.544639
cos(304°) = 0.559193
cos(305°) = 0.573576
cos(306°) = 0.587785
cos(307°) = 0.601815
cos(308°) = 0.615661
cos(309°) = 0.62932
cos(310°) = 0.642788
cos(311°) = 0.656059
cos(312°) = 0.669131
cos(313°) = 0.681998
cos(314°) = 0.694658
cos(315°) = 0.707107
cos(316°) = 0.71934
cos(317°) = 0.731354
cos(318°) = 0.743145
cos(319°) = 0.75471
cos(320°) = 0.766044
cos(321°) = 0.777146
cos(322°) = 0.788011
cos(323°) = 0.798636
cos(324°) = 0.809017
cos(325°) = 0.819152
cos(326°) = 0.829038
cos(327°) = 0.838671
cos(328°) = 0.848048
cos(329°) = 0.857167
cos(330°) = 0.866025
cos(331°) = 0.87462
cos(332°) = 0.882948
cos(333°) = 0.891007
cos(334°) = 0.898794
cos(335°) = 0.906308
cos(336°) = 0.913545
cos(337°) = 0.920505
cos(338°) = 0.927184
cos(339°) = 0.93358
cos(340°) = 0.939693
cos(341°) = 0.945519
cos(342°) = 0.951057
cos(343°) = 0.956305
cos(344°) = 0.961262
cos(345°) = 0.965926
cos(346°) = 0.970296
cos(347°) = 0.97437
cos(348°) = 0.978148
cos(349°) = 0.981627
cos(350°) = 0.984808
cos(351°) = 0.987688
cos(352°) = 0.990268
cos(353°) = 0.992546
cos(354°) = 0.994522
cos(355°) = 0.996195
cos(356°) = 0.997564
cos(357°) = 0.99863
cos(358°) = 0.999391
cos(359°) = 0.999848
cos(360°) = 1