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Question
Find the integrals of the function:
`(1-cosx)/(1 + cos x)`
Solution
Let `I = int (1 - cos x)/(1 + cos x) dx`
`= int (2 sin^2 x/2)/(2 cos^2 x/2) dx`
`= int tan^2 x/2 dx`
`= int (sec^2 x/2 - 1) dx`
`= [(tan x/2)/(1/2) - x + C]`
`= 2 tan x/2 - x + C`
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