数学课上我们经常提到的正弦、余弦0度、90度、180度是什么？余弦从0到180，360有很多值。很多朋友想知道余弦 value 角度对照表的一些细节。以下是边肖编译的AND 余弦 value 角度对照表。

正弦，余弦0度，90度，180度分别是什么？

sin0 =0，cos 0 = 1；sin90 =1，cos 90 = 0；sin180 =0，cos180 =-1 .

结果分析

1.当角度为0时，角度两边重合，y轴上的值为0，所以sin0 = 0。

2.cosx=邻边/斜边。当x=0时，斜边和邻边相等，所以cos0 = 1。

3.sinα=r/y，其中r是单位圆的半径。当α=90度时，r=y，所以sin90度=1。

4.余弦是邻边与斜边的比值，90°直角的对边是长度为0的斜边，所以COS 90 = 0。

5.SIN 180 = SIN(90+90)= SIN 90 COS 90+COS 90 SIN 90 = 0，所以SIN 180 = 0。

6.设从180度角的终边上的一点P(x，0)到R的距离为R，则R =-X，根据三角函数的定义，COS 180 = X/R = X/(-X) =-1，所以COS 180 =-1。

公式关系

1、平方和关系

(sinα)^2+(cosα)^2=1

2、产品之间的关系

Sinα=tanα×cosα(即sinα/cosα=tanα)

Cosα=cotα×sinα(即cosα/sinα=cotα)。

Tanα=sinα×secα(即tanα/sinα=secα)。

正弦函数定理及其应用

在三角形中，每条边与其对角线正弦的比值相等，即a/sinA=b/sinB=c/sinC。

S△ = c 2sinasinb/2sin (a+b) (s△是三角形的面积，三个角∠A∠B∠C，对边分别∠A，B，C)。

s△= 1/2 AC SINB = 1/2 BC SINA = 1/2 ABS Inc(三个角∠A∠B∠C，对边分别为A、B、C，见三角函数)。

另外，当sin值在180-360之间时，会出现负数，在360以上重复出现。

归纳公式

sin(2kπ+α)=sinα

cos(2kπ+α)=cosα

tan(2kπ+α)=tanα

cot(2kπ+α)=cotα

sec(2kπ+α)=secα

正弦余弦所有特殊角度的值

特殊角度的值如下:

在直角三角形中，任意锐角∠A的对边与斜边之比称为∠A的正弦，由英文单词sine缩写而来，即sinA = ∠ A的对边/斜边。

扩展数据

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)= sinαcosβcosγ+cosαsinβcosγ+cosαcosβsinγ-sinαsinβsinγ

cos(α β)=cosαcosβsinβsinα

tan(α β)=(tanα tanβ)/(1tanαtanβ)

余弦 value 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