List of top Mathematics Questions on Trigonometric Functions asked in CBSE CLASS XII

Evaluate: $ \tan^{-1} \left[ 2 \sin \left( 2 \cos^{-1} \frac{\sqrt{3}}{2} \right) \right]$

The graph of a trigonometric function is as shown. Which of the following will represent the graph of its inverse?

Solve for \( x \), \[ 2 \tan^{-1} x + \sin^{-1} \left( \frac{2x}{1 + x^2} \right) = 4\sqrt{3} \]

Evaluate: \( \sin^{-1} \left( \sin \frac{3\pi}{5} \right) \).