Let \( f(\alpha)=\cos \left[\cot ^{-1}\left(\frac{\cos \alpha}{\sqr... VIDEO
Let \( f(\alpha)=\cos \left[\cot ^{-1}\left(\frac{\cos \alpha}{\sqrt{1-\cos 2 \alpha}}\right)\right] \) where \( \frac{\pi}{4}\alpha\frac{\pi}{2} \), then the value of \( \frac{d f(\alpha)}{d(\cot \alpha)} \), is :
P
W
(a) 6
(b) 5
(c) 3
(d) 1
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