Trigonometric Functions（三角函数之歌）

Trigonometric Functions（三角函数之歌） - Cc7oo

以下歌词翻译由文曲大模型提供

Composed by：Cc7oo

Sine cosine secant cosecant

正弦、余弦、正割、余割

Let's sing a song about trig-functions

让我们来唱一首关于三角函数的歌

Sin（2π+α）=sinα

Cos（2π+α）=cosα

Tan（2π+α）=tanα

Induction formula1 and induction formula 2

诱导公式一和诱导公式二

Sin（π+α）= -sinα

Cos（π+α）=-cosα

Tan（π+α）= tanα

Sin（π-α）= sinα

Cos（π-α）=-cosα

You wanna measure width of a river height of a tower

你想测量河流的宽度 或是高塔的高度

You scratch your head which cost you more than an hour

你为此挠头苦思 耗费了不止一小时

You don't need to ask any "gods" or" master" for help

你无须向任何"神明"或"大师"求助

This group of formulas are gonna help you solve

这组公式会帮你解决所有问题

Sin(α+β)=sinα•cosβ+cosα•sinβ

正弦(α+β)=正弦α•余弦β+余弦α•正弦β

Cos(α+β)=cosα•cosβ-sinα•sinβ

余弦(α+β)=余弦α•余弦β-正弦α•正弦β

Tan(α+β)=(tanα+tanβ)/(1-tanα•tanβ)

正切(α+β)=(正切α+正切β)/(1-正切α•正切β)

Sin(α-β)=sinα•cosβ-cosα•sinβ

正弦(α-β)=正弦α•余弦β-余弦α•正弦β

Cos(α-β)=cosα•cosβ+sinα•sinβ

余弦(α-β)=余弦α•余弦β+正弦α•正弦β

Tan(α-β)=(tanα-tanβ)/(1+tanα•tanβ)

正切(α-β)=(正切α-正切β)/(1+正切α•正切β)

As you come across a right triangle you fell easy to solve

当你遇到直角三角形 便能轻松应对

But an obtuse triange gonna make you feel confused

但钝角三角形总会让你困惑不已

Don't worry about what you do

无需担忧你所面对的困境

There are always means to solve

总有方法能将其解开

As long as you master the sine cosine law

只要你掌握了正弦余弦法则

At this moment I've got nothing to say

此刻我已无言以对

As trig-functions rain down upon me

当三角函数的雨点轻轻落下

At this moment I've got nothing to say

此刻我已无言以对

Let's sing a song about trig-functions

让我们来唱一首关于三角函数的歌

Long live the trigonometric functions

三角函数永世长存