List of top Mathematics Questions on Inverse Trigonometric Functions asked in PSEB XII

\( \frac{d}{dx} \left( \sin x^2 \right) = 2x \cos x^2 \)

The principal value of \( \tan^{-1}(\sqrt{3}) \) is:

If \( \sin^{-1}x + \cos^{-1}x = \frac{\pi}{2} \), then \( x \) is:

Prove that \[ 2 \tan^{-1} \left( \frac{1}{3} \right) + \tan^{-1} \left( \frac{1}{7} \right) = \frac{\pi}{4} \]

\( \tan^{-1} \sqrt{3} - \sec^{-1}(-2) \) is equal to \( \frac{\pi}{3} \).

The function \( y = \sin x \) is increasing in \( \left[ 0, \frac{\pi}{2} \right] \).

The value of \( \cos^{-1} \left( \cos \frac{2\pi}{3} \right) \) is equal to:

Principal value of \( \sin^{-1}(1) \) is:

Range of the function \( \cos^{-1} \):

Range of function \( \cos^{-1} x \) is:

Principal value of \( \sin^{-1}(1) \) is: