SOLUTION: If f(b)=(b-b^2)/(1+b^2 ); find f(tan x)

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Question 976273: If f(b)=(b-b^2)/(1+b^2 ); find f(tan x)
Answer by anand429(138) About Me  (Show Source):
You can put this solution on YOUR website!
f(tan x)
=%28tanx-tan%5E2%28x%29%29%2F%281%2Btan%5E2%28x%29%29
=tanx+%2A+%281-tanx%29%2Fsec%5E2%28x%29
=%28sinx%2Fcosx%29%2A%28%28cosx-sinx%29%2Fcosx%29%2Acos%5E2%28x%29
=sinx%2A%28cosx-sinx%29