Question

❌No spam or rubbish answers:❌ Find the integral of $\frac{1-cosx}{1+cosx}$

Answer 1

First just do simple math :

∫1−cos(x)1+cos(x)dx=−1−cos(x)+21+cos(x)dx

Now we can factorize the numerator :

⇒∫−(1+cos(x))+21+cos(x)dx

⇒∫−(1+cos(x))1+cos(x)dx+2∫11+cos(x)dx

⇒∫−1dx+2∫11+cos(x)dx

Remember that cos2(x)=12(1+cos(2x))

(From cos(a)cos(b) formula with a=b)

⇒2cos2(x)=(1+cos(2x))

Answer 2

Answer:

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