If \( f(\theta)=\tan \left(\sin ^{-1} \sqrt{\frac{2}{3+\cos 2 \theta}}\right) \) then :....

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If \( f(\theta)=\tan \left(\sin ^{-1} \sqrt{\frac{2}{3+\cos 2 \theta}}\right) \) then :
\( \mathrm{P} \)
(1) \( f^{\prime}\left(\frac{\pi}{4}\right)=\sqrt{2} \)
(2) \( \quad f\left(\frac{\pi}{4}\right)=\sqrt{2} \)
(3) \( \frac{d(f(\theta))}{d(\cos \theta)} \) at \( \theta=\frac{\pi}{4} \) is \( -\sqrt{2} \)
(4) \( \frac{d(f(\theta))}{d(\cos \theta)} \) at \( \theta=\frac{\pi}{4} \) is -2


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