List of top Mathematics Questions on Trigonometric Identities asked in CUET (UG)

Match List-I (Inverse Trigonometric function Principal values) with List-II:

The value of \( \cos\left(\frac{\pi}{6}-\cos^{-1}\left(-\frac{\sqrt3}{2}\right)\right) \) is equal to:

The value of \( \cot^{-1}\left[2\cos\left(2\sin^{-1}\frac{1}{2}\right)\right] \) is:

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

If \( (\cos x)^y = (\sin y)^x \) then \( \frac{dy}{dx} \) is:

If \(2\sin2\theta=\sqrt3\), where 0 ≤ 2θ ≤ 90°, then find the value of cos 3θ

If $a = \frac{2 \sin \theta}{1 + \cos \theta + \sin \theta}$, then $\frac{1 + \sin \theta - \cos \theta}{1 + \sin \theta}$ is ________.