余弦值角度对照表0到360度大全2023最新 |
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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。 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 |
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