If \( y=(\sin x)^{\tan x} \), then \( \frac{d y}{d x} \) is equal to :....

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If \( y=(\sin x)^{\tan x} \), then \( \frac{d y}{d x} \) is equal to :
\( \mathrm{P} \)
(1) \( (\sin x)^{\tan x}\left(1+\sec ^{2} x \log \sin x\right) \)
(2) \( \tan (\sin x)^{\tan x-1} \cos x \)
(3) \( (\sin x)^{\tan x} \sec ^{2} x \log \sin x \)
(4) \( \tan x(\sin x)^{\tan x-1} \)


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