数学 Trigonometric Function
- When you first study math about 1,2,3,4
- First study equation about X,Y,Z,T
- It will help you to think in a logical way
- When you sing sine, cosine, cosine, tangent
- Sine, cosine, tangent, cotangent
- Sine, cosine, secant, cosecant
- Let's sing a song about trig-functions
- sin(2pi + alpha) = sin alpha
- cos(2pi + alpha) = cos alpha
- tan(2pi + alpha) = tan alpha
- Which is induction formula 1, and induction formula 2
- sin(pi + alpha) = -sin alpha
- cos(pi + alpha) = -cos alpha
- tan(pi + alpha) = tan alpha
- sin(pi - alpha) = sin alpha
- cos(pi - alpha) = cos alpha
- tan(pi - alpha) = -tan alpha
- These are all those "name don't change"
- As pi goes to half pi the difference shall be huge
- sin(half-pi + alpha) = -cos alpha
- sin(half-pi - alpha) = cos alpha
- cos(half-pi + alpha) = -sin alpha
- cos(half-pi - alpha) = sin alpha
- tan(half-pi + alpha) = -cot alpha
- tan(half-pi - alpha) = cot alpha
- That is to say the odds will change, evens are conserved
- The notations that they get depend on where they are
- But no matter where you are
- I've gotta say that
- If you were my sine curve, I'd be your cosine curve
- I'll be your derivative, you'll be my negative one
- As you change you amplitude, I change my phase
- We can oscillate freely in the external space
- 今天先到这吧，感觉这适合表白？
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