List of top Mathematics Questions on Trigonometric Functions asked in MET

If \[ 2\tan^{-1}(\cos x) = \tan^{-1}(2 \csc x), \] then the value of \( x \) is:

The value of \(S = \frac{1}{6} \left( \frac{\pi}{2} - \sin^2 \frac{2\pi}{7} - \cos^2 \frac{2\pi}{7} \right)\) is

If \(\sin A + \cos B = a\) and \(\sin B + \cos A = b\), then \(\sin(A + B)\) is equal to

The period of the function \[ f(x) = \begin{vmatrix} \sin x & \cos x & \sin x \cos x \\ \sin x & \cos x & \sin x \\ \cos x & \sin x & \sin x \end{vmatrix} \] is:

The number of values of \(x\), where \(f(x) = \cos x + \cos 2x\) attains its maximum is

The value of \(\sin^{-1}\left\{\cot\left(\sin^{-1}\sqrt{\frac{2-\sqrt{3}}{4}}\right) + \cos^{-1}\frac{\sqrt{12}}{4} + \sec^{-1}\sqrt{2}\right\}\) is

The value of \[ \sin^{-1}\left[\cos\left(\sin^{-1}\left(\sqrt{\frac{2-\sqrt{3}}{4}}\right) + \cos^{-1}\left(\frac{\sqrt{12}}{4}\right) + \sec^{-1}\left(\sqrt{2}\right)\right)\right] \] is

The sum of all the solutions of the equation $\cos x · \cos(\frac\pi3+x) · \cos(\frac\pi3-x) = \frac14, x \in [0, 6π]$ is

The value of $\cos \frac2π15 · \cos \frac4\pi15 · \cos \frac8\pi15 · \cos \frac16\pi15$ is equal to

If \( \cos x = \frac{2\cos y - 1}{2 - \cos y} \), where \( x, y \in (0, \pi) \), then \( \tan \frac{x}{2} \cot \frac{y}{2} \) is equal to:

The period of function $f(x)=| \sin 4x | + | \cos 4x |$ is

The number of values of the triplet (a, b, c) for which $a \cos 2x + b \sin² x + c = 0$ is satisfied by all real x, is