122度
tan值对应角度表:
tan0°~180°角度正切值表
tan(0°)=0tan(61°)=1.80405tan(121°)=-1.66428
tan(1°)=0.01746tan(62°)=1.88073tan(122°)=-1.60033
tan(2°)=0.03492tan(63°)=1.96261tan(123°)=-1.53986
tan(3°)=0.05241tan(64°)=2.0503tan(124°)=-1.48256
tan(4°)=0.06993tan(65°)=2.14451tan(125°)=-1.42815
tan(5°)=0.08749tan(66°)=2.24604tan(126°)=-1.37638
tan(6°)=0.1051tan(67°)=2.35585tan(127°)=-1.32704
tan(7°)=0.12278tan(68°)=2.47509tan(128°)=-1.27994
tan(8°)=0.14054tan(69°)=2.60509tan(129°)=-1.2349
tan(9°)=0.15838tan(70°)=2.74748tan(130°)=-1.19175
tan(10°)=0.17633tan(71°)=2.90421tan(131°)=-1.15037
tan(11°)=0.19438tan(72°)=3.07768tan(132°)=-1.11061
tan(12°)=0.21256tan(73°)=3.27085tan(133°)=-1.07237
tan(13°)=0.23087tan(74°)=3.48741tan(134°)=-1.03553
tan(14°)=0.24933tan(75°)=3.73205tan(135°)=-1
tan(15°)=0.26795tan(76°)=4.01078tan(136°)=-0.96569
tan(16°)=0.28675tan(77°)=4.33148tan(137°)=-0.93252
tan(17°)=0.30573tan(78°)=4.70463tan(138°)=-0.9004
tan(18°)=0.32492tan(79°)=5.14455tan(139°)=-0.86929
tan(19°)=0.34433tan(80°)=5.67128tan(140°)=-0.8391
tan(20°)=0.36397tan(81°)=6.31375tan(141°)=-0.80978
tan(21°)=0.38386tan(82°)=7.11537tan(142°)=-0.78129
tan(22°)=0.40403tan(83°)=8.14435tan(143°)=-0.75355
tan(23°)=0.42447tan(84°)=9.51436tan(144°)=-0.72654
tan(24°)=0.44523tan(85°)=11.43005tan(145°)=-0.70021
tan(25°)=0.46631tan(86°)=14.30067tan(146°)=-0.67451
tan(26°)=0.48773tan(87°)=19.08114tan(147°)=-0.64941
tan(27°)=0.50953tan(88°)=28.63625tan(148°)=-0.62487
tan(28°)=0.53171tan(89°)=57.28996tan(149°)=-0.60086
tan(29°)=0.55431tan(90°)=∞tan(150°)=-0.57735
tan(30°)=0.57735tan(91°)=-57.28996tan(151°)=-0.55431
tan(31°)=0.60086tan(92°)=-28.63625tan(152°)=-0.53171
tan(32°)=0.62487tan(93°)=-19.08114tan(153°)=-0.50953
tan(33°)=0.64941tan(94°)=-14.30067tan(154°)=-0.48773
tan(34°)=0.67451tan(95°)=-11.43005tan(155°)=-0.46631
tan(35°)=0.70021tan(96°)=-9.51436tan(156°)=-0.44523
tan(36°)=0.72654tan(97°)=-8.14435tan(157°)=-0.42447
tan(37°)=0.75355tan(98°)=-7.11537tan(158°)=-0.40403
tan(38°)=0.78129tan(99°)=-6.31375tan(159°)=-0.38386
tan(39°)=0.80978tan(100°)=-5.67128tan(160°)=-0.36397
tan(40°)=0.8391tan(101°)=-5.14455tan(161°)=-0.34433
tan(41°)=0.86929tan(102°)=-4.70463tan(162°)=-0.32492
tan(42°)=0.9004tan(103°)=-4.33148tan(163°)=-0.30573
tan(43°)=0.93252tan(104°)=-4.01078tan(164°)=-0.28675
tan(44°)=0.96569tan(105°)=-3.73205tan(165°)=-0.26795
tan(45°)=1tan(106°)=-3.48741tan(166°)=-0.24933
tan(46°)=1.03553tan(107°)=-3.27085tan(167°)=-0.23087
tan(47°)=1.07237tan(108°)=-3.07768tan(168°)=-0.21256
tan(48°)=1.11061tan(109°)=-2.90421tan(169°)=-0.19438
tan(49°)=1.15037tan(110°)=-2.74748tan(170°)=-0.17633
tan(50°)=1.19175tan(111°)=-2.60509tan(171°)=-0.15838
tan(51°)=1.2349tan(112°)=-2.47509tan(172°)=-0.14054
tan(52°)=1.27994tan(113°)=-2.35585tan(173°)=-0.12278
tan(53°)=1.32704tan(114°)=-2.24604tan(174°)=-0.1051
tan(54°)=1.37638tan(115°)=-2.14451tan(175°)=-0.08749
tan(55°)=1.42815tan(116°)=-2.0503tan(176°)=-0.06993
tan(56°)=1.48256tan(117°)=-1.96261tan(177°)=-0.05241
tan(57°)=1.53986tan(118°)=-1.88073tan(178°)=-0.03492
tan(58°)=1.60033tan(119°)=-1.80405tan(179°)=-0.01746
tan(59°)=1.66428tan(120°)=-1.73205tan(180°)=0
tan(60°)=1.73205
tan181°~360°角度正切值表
tan(181°)=0.01746tan(241°)=1.80405tan(301°)=-1.66428
tan(182°)=0.03492tan(242°)=1.88073tan(302°)=-1.60033
tan(183°)=0.05241tan(243°)=1.96261tan(303°)=-1.53986
tan(184°)=0.06993tan(244°)=2.0503tan(304°)=-1.48256
tan(185°)=0.08749tan(245°)=2.14451tan(305°)=-1.42815
tan(186°)=0.1051tan(246°)=2.24604tan(306°)=-1.37638
tan(187°)=0.12278tan(247°)=2.35585tan(307°)=-1.32704
tan(188°)=0.14054tan(248°)=2.47509tan(308°)=-1.27994
tan(189°)=0.15838tan(249°)=2.60509tan(309°)=-1.2349
tan(190°)=0.17633tan(250°)=2.74748tan(310°)=-1.19175
tan(191°)=0.19438tan(251°)=2.90421tan(311°)=-1.15037
tan(192°)=0.21256tan(252°)=3.07768tan(312°)=-1.11061
tan(193°)=0.23087tan(253°)=3.27085tan(313°)=-1.07237
tan(194°)=0.24933tan(254°)=3.48741tan(314°)=-1.03553
tan(195°)=0.26795tan(255°)=3.73205tan(315°)=-1
tan(196°)=0.28675tan(256°)=4.01078tan(316°)=-0.96569
tan(197°)=0.30573tan(257°)=4.33148tan(317°)=-0.93252
tan(198°)=0.32492tan(258°)=4.70463tan(318°)=-0.9004
tan(199°)=0.34433tan(259°)=5.14455tan(319°)=-0.86929
tan(200°)=0.36397tan(260°)=5.67128tan(320°)=-0.8391
tan(201°)=0.38386tan(261°)=6.31375tan(321°)=-0.80978
tan(202°)=0.40403tan(262°)=7.11537tan(322°)=-0.78129
tan(203°)=0.42447tan(263°)=8.14435tan(323°)=-0.75355
tan(204°)=0.44523tan(264°)=9.51436tan(324°)=-0.72654
tan(205°)=0.46631tan(265°)=11.43005tan(325°)=-0.70021
tan(206°)=0.48773tan(266°)=14.30067tan(326°)=-0.67451
tan(207°)=0.50953tan(267°)=19.08114tan(327°)=-0.64941
tan(208°)=0.53171tan(268°)=28.63625tan(328°)=-0.62487
tan(209°)=0.55431tan(269°)=57.28996tan(329°)=-0.60086
tan(210°)=0.57735tan(270°)=∞tan(330°)=-0.57735
tan(211°)=0.60086tan(271°)=-57.28996tan(331°)=-0.55431
tan(212°)=0.62487tan(272°)=-28.63625tan(332°)=-0.53171
tan(213°)=0.64941tan(273°)=-19.08114tan(333°)=-0.50953
tan(214°)=0.67451tan(274°)=-14.30067tan(334°)=-0.48773
tan(215°)=0.70021tan(275°)=-11.43005tan(335°)=-0.46631
tan(216°)=0.72654tan(276°)=-9.51436tan(336°)=-0.44523
tan(217°)=0.75355tan(277°)=-8.14435tan(337°)=-0.42447
tan(218°)=0.78129tan(278°)=-7.11537tan(338°)=-0.40403
tan(219°)=0.80978tan(279°)=-6.31375tan(339°)=-0.38386
tan(220°)=0.8391tan(280°)=-5.67128tan(340°)=-0.36397
tan(221°)=0.86929tan(281°)=-5.14455tan(341°)=-0.34433
tan(222°)=0.9004tan(282°)=-4.70463tan(342°)=-0.32492
tan(223°)=0.93252tan(283°)=-4.33148tan(343°)=-0.30573
tan(224°)=0.96569tan(284°)=-4.01078tan(344°)=-0.28675
tan(225°)=1tan(285°)=-3.73205tan(345°)=-0.26795
tan(226°)=1.03553tan(286°)=-3.48741tan(346°)=-0.24933
tan(227°)=1.07237tan(287°)=-3.27085tan(347°)=-0.23087
tan(228°)=1.11061tan(288°)=-3.07768tan(348°)=-0.21256
tan(229°)=1.15037tan(289°)=-2.90421tan(349°)=-0.19438
tan(230°)=1.19175tan(290°)=-2.74748tan(350°)=-0.17633
tan(231°)=1.2349tan(291°)=-2.60509tan(351°)=-0.15838
tan(232°)=1.27994tan(292°)=-2.47509tan(352°)=-0.14054
tan(233°)=1.32704tan(293°)=-2.35585tan(353°)=-0.12278
tan(234°)=1.37638tan(294°)=-2.24604tan(354°)=-0.1051
tan(235°)=1.42815tan(295°)=-2.14451tan(355°)=-0.08749
tan(236°)=1.48256tan(296°)=-2.0503tan(356°)=-0.06993
tan(237°)=1.53986tan(297°)=-1.96261tan(357°)=-0.05241
tan(238°)=1.60033tan(298°)=-1.88073tan(358°)=-0.03492
tan(239°)=1.66428tan(299°)=-1.80405tan(359°)=-0.01746
tan(240°)=1.73205tan(300°)=-1.73205tan(360°)=0
解法之一如下:
由 tan211°=a 得
tan(211°-180°)=a,
tan31°=a,
tan62°=2a/(1-a²),
所以
(sin17°+cos17°)/(sin17°-cos17°)
=(sin²17°-cos²17°)/(sin17°-cos17°)²
=-cos34°/(1-sin34°)
=-sin124°/(1+cos124°)
=-tan62°
=2a/(a²-1) .
tan30度=√3/3;tan45度=1;tan60=√3;tan90度无解。
在三角函数中,有一些特殊角,例如30°、45°、60°,这些角的三角函数值为简单单项式,计算中可以直接求出具体的值,具体如下表:
三角函数是基本初等函数之一,是以角度(数学上最常用弧度制,下同)为自变量,角度对应任意角终边与单位圆交点坐标或其比值为因变量的函数。
也可以等价地用与单位圆有关的各种线段的长度来定义。三角函数在研究三角形和圆等几何形状的性质时有重要作用,也是研究周期性现象的基础数学工具。
在数学分析中,三角函数也被定义为无穷级数或特定微分方程的解,允许它们的取值扩展到任意实数值,甚至是复数值。
扩展资料
常见的三角函数公式:
sin(2kπ+α)=sin α、cos(2kπ+α)=cos α、tan(2kπ+α)=tan α
cot(2kπ+α)=cot α、sec(2kπ+α)=sec α、csc(2kπ+α)=csc α
sin(π+α)=-sin α、cos(π+α)=-cos α、tan(π+α)=tan α
cot(π+α)=cot α、sec(π+α)=-sec α、csc(π+α)=-csc α
三倍角公式:
sin(3α) = 3sinα-4sin3α = 4sinα·sin(60°+α)sin(60°-α)
cos(3α) = 4cos3α-3cosα = 4cosα·cos(60°+α)cos(60°-α)
tan(3α) = (3tanα-tan3α)/(1-3tan²α) = tanαtan(π/3+α)tan(π/3-α)
cot(3α)=(cot3α-3cotα)/(3cot2α-1)
1、tan30度:√3/3
2、tan45度:1、3、tan60度:√3
4、tan90度:不存在
5、sin30度 :
1、/2
6、sin45度:√2/2
7、sin60度 :√3/2
8、sin90度 :1、9、cos30度: √3/2
10、cos45度 :√2/2
11、cos60度 :
1、/2
12、cos90度:0
依据:
在直角三角形中,当平面上的三点A、B、C的连线,AB、AC、BC,构成一个直角三角形,其中∠ACB为直角。
对∠BAC而言,对边(opposite)a=BC、斜边(hypotenuse)c=AB、邻边(adjacent)b=AC,则存在以下关系:
1、正弦函数
缩写:sin
值:a/c
语言描述:∠A的对边比斜边
2、余弦函数
缩写:cos
值:b/c
语言描述:∠A的邻边比斜边
3、正切函数
缩写:tan
值:a/b
语言描述:∠A的对边比邻边
4、余切函数
缩写:cot
值:b/a
语言描述:∠A的邻边比对边
5、正割函数
缩写:sec
值:c/b
语言描述:∠A的斜边比邻边
6、余割函数
缩写:csc
值:c/a
语言描述:∠A的斜边比对边
扩展资料
三角函数常用公式:
1、万能公式
sina=[2tan(a/2)]/[1+tan²(a/2)]
cosa=[1-tan²(a/2)]/[1+tan²(a/2)]
tana=[2tan(a/2)]/[1-tan²(a/2)]
2、降幂公式
sin²α=[1-cos(2α)]/2
cos²α=[1+cos(2α)]/2
tan²α=[1-cos(2α)]/[1+cos(2α)]
3、三角和
sin(α+β+γ)=sinα·cosβ·cosγ+cosα·sinβ·cosγ+cosα·cosβ·sinγ-sinα·sinβ·sinγ
cos(α+β+γ)=cosα·cosβ·cosγ-cosα·sinβ·sinγ-sinα·cosβ·sinγ-sinα·sinβ·cosγ
tan(α+β+γ)=(tanα+tanβ+tanγ-tanα·tanβ·tanγ)÷(1-tanα·tanβ-tanβ·tanγ-tanγ·tanα)
参考资料
百度百科-三角函数以上就是关于0.4898 正切是多少度全部的内容,如果了解更多相关内容,可以关注醉学网,你们的支持是我们更新的动力!