Prove that : `(1+costheta- sin^(2)theta)/(sintheta+sinthetacostheta)=c – InterviewSolution

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1.	Prove that : `(1+costheta- sin^(2)theta)/(sintheta+sinthetacostheta)=cottheta`
Answer» L.H.S. `=(1+costheta-sin^(2)theta)/(sintheta+sinthetacostheta)=((1-sin^(2)theta)+costheta)/(sin theta(1+costheta))=(cos^(2)theta+costheta)/(sintheta(1+costheta))` `=(costheta(costheta+1))/(sintheta(1+costheta))=(costheta)/(sintheta)=cotthetaR.H.S.`

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