trigonometric functions歌词 歌手天儿-专辑科学狂想曲-单曲《trigonometric functions》LRC歌词下载

[00:00.000] 作词 : 天儿 [00:01.000] 作曲 : 天儿 [00:10.56]when you first study math about 1234 [00:12.88]first study equation about xyzt [00:14.94]It will help you to think in a logical way [00:16.96]When you sing sine,cosine,cosine,tangent [00:19.28]Sine,cosine,tangent,cotangent [00:21.40]Sine,cosine,..,secant,cosecant [00:23.57]Let's sing a song about trig-functions [00:25.82]sin（2π+α）=sinα [00:27.94]cos（2π+α）=cosα [00:29.89]tan（2π+α）=tanα [00:31.83]which is induction formula1,and induction formula 2 [00:34.23]sin（π+α）= —sinα [00:36.35]cos（π+α）=—cosα [00:38.63]tan（π+α）= tanα [00:40.69]sin（π－α）= sinα [00:42.53]cos（π－α）=－cosα [00:44.99]tan（π－α）=－tanα [00:47.11]These are all those "name donot -change" [00:49.29]As pi goes to half pi the difference shall be huge [00:51.36]sin（π/2+α）=cosα [00:53.48]sin（π/2－α）=cosα [00:55.45]cos（π/2+α）=－sinα [00:57.84]cos（π/2－α）=sinα [00:59.92]tan（π/2+α）=－cotα [01:01.77]tan（π/2－α）=cotα [01:08.60]That is to say the odds will change,evens are conserved [01:13.47]The notations that they get depend on where they are [01:17.08]But no matter where you are [01:19.16]I‘ve gotta say that [01:21.49]If you were my sine curve,I'd be your cosine curve [01:25.73]I'll be your derivative,you'll be my negtive one [01:29.76]As you change you amplitude,I change my phase [01:34.17]We can oscillate freely in the external space [01:38.44]As we change our period and costant at hand [01:42.61]We travel from the origin to infinity [01:46.85]It's you sine,and you cosine [01:51.27]Who make charming music around the world [01:55.45]It's you tangent,cotangent [01:59.74]Who proclaim the true meaning of centrosymmetry [02:03.44]B BOX [02:46.93]You wanna measure width of a river,height of a tower [02:49.27]You scratch your head which cost you more than an hour [02:51.40]You don't need to ask any "gods" or" master" for help [02:53.49]This group of formulas are gonna help you solve [02:55.82]sin(α+β)=sinα•cosβ+cosα•sinβ [02:58.94]cos(α+β)=cosα•cosβ-sinα•sinβ [03:02.22]tan(α+β)=(tanα+tanβ)/(1-tanα•tanβ) [03:06.25]sin(α-β)=sinα•cosβ-cosα•sinβ [03:09.59]cos(α-β)=cosα•cosβ+sinα•sinβ [03:12.93]tan(α-β)=(tanα-tanβ)/(1+tanα•tanβ) [03:17.99]As you come across a right triangle you fell easy to sovle [03:20.23]But an obtuse triange gonna make you feel confused [03:22.26]Don't worry about what you do [03:23.64]There are always means to solve [03:24.80]As long as you master the sine cosine law [03:30.04]At this momnet I've got nothing to say [03:33.80]As trig-functions rain down upon me [03:38.45]At this moment I've got nothing to say [03:42.52]Let's sing a song about trig-functions [03:47.13]Long live the trigonometric functions [03:55.85] [00:10.56]当你初学数学中的1234 [00:12.88]初学方程中的XYZT [00:14.94]它将帮助你进行逻辑思考 [00:16.96]当你唱起正弦，余弦，余弦，正切 [00:19.28]正弦，余弦，正切，余切 [00:21.40]正弦，余弦，正割，余割 [00:23.57]让我们唱起三角函数的歌谣吧 [00:25.82]sin（2π+α）=sinα [00:27.94]cos（2π+α）=cosα [00:29.89]tan（2π+α）=tanα [00:31.83]这是诱导公式归类1，下面是诱导公式归类2 [00:34.23]sin（π+α）= —sinα [00:36.35]cos（π+α）=—cosα [00:38.63]tan（π+α）= tanα [00:40.69]sin（π－α）= sinα [00:42.53]cos（π－α）=－cosα [00:44.99]tan（π－α）=－tanα [00:47.11]这些均为“函数名不变” [00:49.29]当π成为π/2是变化会很大 [00:51.36]sin（π/2+α）=cosα [00:53.48]sin（π/2－α）=cosα [00:55.45]cos（π/2+α）=－sinα [00:57.84]cos（π/2－α）=sinα [00:59.92]tan（π/2+α）=－cotα [01:01.77]tan（π/2－α）=cotα [01:08.60]这就是说 ：奇变偶不变 [01:13.47]符号看象限 [01:17.08]但不论你在哪 [01:19.16]我将会说 [01:21.49]你若为正弦曲线，我愿做余弦曲线 [01:25.73]我将为你的导数，你将为我负导数 [01:29.76]当你改变振幅，我改变相位 [01:34.17]我们可在外界空间自由震荡 [01:38.44]当我们改变周期和手边常数 [01:42.61]我们从原点驶向无尽 [01:46.85]是你，正弦，余弦 [01:51.27]创造了世间动人的音乐 [01:55.45]是你，正切，余切 [01:59.74]揭示了中心对称的真谛 [02:03.44]B BOX表演已开始 [02:46.93]你想测量河宽及塔高 [02:49.27]你抓耳挠腮一个多小时也想不出 [02:51.40]你无需向dalao们请教 [02:53.49]这一组公式将帮你解决 [02:55.82]sin(α+β)=sinα•cosβ+cosα•sinβ [02:58.94]cos(α+β)=cosα•cosβ-sinα•sinβ [03:02.22]tan(α+β)=(tanα+tanβ)/(1-tanα•tanβ) [03:06.25]sin(α-β)=sinα•cosβ-cosα•sinβ [03:09.59]cos(α-β)=cosα•cosβ+sinα•sinβ [03:12.93]tan(α-β)=(tanα-tanβ)/(1+tanα•tanβ） [03:17.99]当你遇到直角三角形很容易解 [03:20.23]但钝角三角形使你感到困惑 [03:22.26]无须担心 [03:23.64]总有解决方法 [03:24.80]只要你掌握了正余弦定理 [03:30.04]此刻我无以言表 [03:33.80]当时三角函数犹雨点般落向我 [03:38.45]此刻我无以言表 [03:42.52]让我们唱起三角函数歌谣吧 [03:47.13]三角函数万岁 [03:55.85]