List of top Mathematics Questions on Trigonometric Functions asked in GUJCET

\( \tan^{-1} \left[ 2\cos \left( 2\sin^{-1} \frac{1}{2} \right) \right] = \)_____
\( \sin^{-1} \left(\sin \frac{3\pi}{5}\right) =\) _____
If \( \cos^{-1} x = y \), then _____
\( \int_{0}^{\pi} \left(\sin^2 \frac{x}{2} - \cos^2 \frac{x}{2}\right) dx =\) _____
\( \int \frac{dx}{\sqrt{9x - 4x^2}} = \)_____ + C
\( \int \sec^2 x \cdot \csc^2 x \, dx =\) _____ + C