If `y=(sin x)/(1+cos x)` then prove that `(dy)/(dx)=(1)/(1+cosx)` – InterviewSolution

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1.	If `y=(sin x)/(1+cos x)` then prove that `(dy)/(dx)=(1)/(1+cosx)`
Answer» `y=(sin x)/(1+cos x)` `(1+cos x).(d)/(dx)sin x` `rArr (dy)/( dx)=(-sin x.(d)/(dx)(1+cos x))/((1+cos x)^(2))` `=(cos x+cos^(2)x+sin^(2)x)/((1+cos x)^(2))` `=(cos x+1)/((1+cos x)^(2))=(1)/(1+cos x)`

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