List of top Mathematics Questions on Inverse Trigonometric Functions asked in BITSAT

If $ y = \tan^{-1}\left(\frac{2x}{1 - x^2}\right) $, then $ \frac{dy}{dx} $ is:
If $ f(x) = \sin^{-1}(2x\sqrt{1 - x^2}) $, then $ f'(x) $ is:
The period of $\tan 3\theta$ is
The value of $\cos^{-1}x + \cos^{-1} \left(\frac{x}{2} + \frac{1}{2} \sqrt{3-3x^{2}}\right) ; \frac{1}{2} \le x \le 1 $ is
The period of $\sin^4 \, x + \cos^4 \, x$ is