Letf(x)=loge(sinx), (0<x<π) and g(x)=sin−1(ex), (x≥0). If α is a – InterviewSolution

1.	Letf(x)=loge(sinx), (0<x<π) and g(x)=sin−1(ex), (x≥0). If α is a positive real number such that a=(fog)′(α) and b=(fog)(α), then :
Answer» Let $f (x) = {log}_{e} (sin x), (0 < x < π)$ and $g (x) = {sin}^{- 1} (e^{x}), (x \geq 0) .$ If $α$ is a positive real number such that $a = (f o g)^{'} (α)$ and $b = (f o g) (α),$ then :

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