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Trigonometric Functions - Unknown Singer
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[00:00.4]Trigonometric Functions - 南9不是娇?
[00:07.78]When you first study math about 1234
[00:10.2]First study equation about xyzt
[00:12.04]It will help you to think in a logical way
[00:14.22]When you sing sine cosine tangent
[00:16.63]Sine cosine tangent cotangent
[00:18.77]Sine cosine secant cosecant
[00:20.9]Let's sing a song about trig-functions
[00:23.05]sin(2π+α)=sinα
[00:24.91]cos(2π+α)=cosα
[00:27.14]tan(2π+α)=tanα
[00:29.11]Which is induction formula1 and induction formula 2
[00:31.59]sin(π+α)=-sinα
[00:33.72]cos(π+α)=-cosα
[00:35.72]tan(π+α)=tanα
[00:37.9]sin(π-α)=sinα
[00:39.99]cos(π-α)=-cosα
[00:42.12]tan(π-α)=-tanα
[00:44.51]These are all those "name do not change"
[00:46.46]As pi goes to half pi the difference shall be huge
[00:48.72]sin(π/2+α)=cosα
[00:50.67]sin(π/2-α)=cosα
[00:52.91]cos(π/2+α)=-sinα
[00:54.97]cos(π/2-α)=sinα
[00:57.1]tan(π/2+α)=-cotα
[00:59.22]tan(π/2-α)=cotα
[01:43.119995]You wanna measure width of a river height of a tower
[01:45.17]You scratch your head which cost you more than an hour
[01:47.36]You don't need to ask any "gods" or" master" for help
[01:49.28]This group of formulas are gonna help you solve
[01:51.630005]sin(α+β)=sinα•cosβ+cosα•sinβ
[01:54.869995]cos(α+β)=cosα•cosβ-sinα•sinβ
[01:58.04]tan(α+β)=(tanα+tanβ)/(1-tanα•tanβ)
[02:02.37]sin(α-β)=sinα•cosβ-cosα•sinβ
[02:05.56]cos(α-β)=cosα•cosβ+sinα•sinβ
[02:08.8]tan(α-β)=(tanα-tanβ)/(1+tanα•tanβ)
[02:12.9]As you come across a right triangle you feel easy to solve
[02:16.07]But an obtuse triange gonna make you feel confused
[02:18.44]Don't worry about what you do
[02:19.65]There are always means to solve
[02:20.51]As long as you master the sine cosine law
[02:25.94]At this moment I've got nothing to say
[02:30.32]As trig-functions rain down upon me
[02:34.59]At this moment I've got nothing to say
[02:38.81]Let's sing a song about trig-functions
[02:43.1]Long live the trigonometric functions
[00:07.78]When you first study math about 1234
[00:10.2]First study equation about xyzt
[00:12.04]It will help you to think in a logical way
[00:14.22]When you sing sine cosine tangent
[00:16.63]Sine cosine tangent cotangent
[00:18.77]Sine cosine secant cosecant
[00:20.9]Let's sing a song about trig-functions
[00:23.05]sin(2π+α)=sinα
[00:24.91]cos(2π+α)=cosα
[00:27.14]tan(2π+α)=tanα
[00:29.11]Which is induction formula1 and induction formula 2
[00:31.59]sin(π+α)=-sinα
[00:33.72]cos(π+α)=-cosα
[00:35.72]tan(π+α)=tanα
[00:37.9]sin(π-α)=sinα
[00:39.99]cos(π-α)=-cosα
[00:42.12]tan(π-α)=-tanα
[00:44.51]These are all those "name do not change"
[00:46.46]As pi goes to half pi the difference shall be huge
[00:48.72]sin(π/2+α)=cosα
[00:50.67]sin(π/2-α)=cosα
[00:52.91]cos(π/2+α)=-sinα
[00:54.97]cos(π/2-α)=sinα
[00:57.1]tan(π/2+α)=-cotα
[00:59.22]tan(π/2-α)=cotα
[01:43.119995]You wanna measure width of a river height of a tower
[01:45.17]You scratch your head which cost you more than an hour
[01:47.36]You don't need to ask any "gods" or" master" for help
[01:49.28]This group of formulas are gonna help you solve
[01:51.630005]sin(α+β)=sinα•cosβ+cosα•sinβ
[01:54.869995]cos(α+β)=cosα•cosβ-sinα•sinβ
[01:58.04]tan(α+β)=(tanα+tanβ)/(1-tanα•tanβ)
[02:02.37]sin(α-β)=sinα•cosβ-cosα•sinβ
[02:05.56]cos(α-β)=cosα•cosβ+sinα•sinβ
[02:08.8]tan(α-β)=(tanα-tanβ)/(1+tanα•tanβ)
[02:12.9]As you come across a right triangle you feel easy to solve
[02:16.07]But an obtuse triange gonna make you feel confused
[02:18.44]Don't worry about what you do
[02:19.65]There are always means to solve
[02:20.51]As long as you master the sine cosine law
[02:25.94]At this moment I've got nothing to say
[02:30.32]As trig-functions rain down upon me
[02:34.59]At this moment I've got nothing to say
[02:38.81]Let's sing a song about trig-functions
[02:43.1]Long live the trigonometric functions
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