List of top Mathematics Questions on Trigonometric Identities

The value of $\tan 48^\circ \tan 16^\circ \tan 42^\circ \tan 74^\circ$ is _____.

If \( \sec \theta + \tan \theta = p \), then \( \sec \theta - \tan \theta = \dots \) “‘latex id="n7o3ls"

If \( 0^\circ < A < 90^\circ \), then simplify \( \sqrt{\frac{1+\sin A}{1-\sin A}} \) “‘latex id="76r4p8"

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

Prove that : $\frac{2 \cos^3} \theta - \cos \theta{\sin \theta - 2 \sin^3 \theta} = \cot \theta$

The value of Tan A + Cot A will be :

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

Find the principal value of \( \tan^{-1}(1) + \cos^{-1}\left(-\frac{1}{2}\right) + \sin^{-1}\left(-\frac{1}{\sqrt{2}}\right) \).

Express \( \tan^{-1} \left( \frac{\cos x}{1 - \sin x} \right) \), where \( -\frac{\pi}{2}<x<\frac{\pi}{2} \), in the simplest form.