If \( x \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right) \), then the ...

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If \( x \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right) \), then the value of
\( \mathrm{P} \) \( \tan ^{-1}\left(\frac{\tan x}{4}\right)+\tan ^{-1}\left(\frac{3 \sin 2 x}{5+3 \cos 2 x}\right) \)
(A) \( x / 2 \)
(B) \( 2 x \)
(C) \( 3 x \)
(D) \( x \)
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