Question 66

Let $$f(\theta) = \sin\left(\tan^{-1}\left(\frac{\sin \theta}{\sqrt{\cos 2\theta}}\right)\right)$$, where $$-\frac{\pi}{4} < \theta < \frac{\pi}{4}$$. Then the value of $$\frac{d}{d(\tan \theta)}(f(\theta))$$ is


Correct Answer: 1


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