1.

If \[y={{\log }_{\cos x}}\sin x\], then \[\frac{dy}{dx}\]is equal to

A.            \[\frac{\cot x\log \cos x+\tan x\log \sin x}{{{(\log \cos x)}^{2}}}\]
B.            \[\frac{\tan x\log \cos x+\cot x\log \sin x}{{{(\log \cos x)}^{2}}}\]
C.            \[\frac{\cot x\log \cos x+\tan x\log \sin x}{{{(\log \sin x)}^{2}}}\]
D.            None of these
Answer» B.            \[\frac{\tan x\log \cos x+\cot x\log \sin x}{{{(\log \cos x)}^{2}}}\]


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