List of top Mathematics Questions on Trigonometry asked in KEAM

\( \sin 15^\circ = \)
The maximum value of \( 5\cos \theta + 3\cos \left(\theta + \frac{\pi}{3}\right) + 3 \) is
If \( \sin\theta - \cos\theta = 1 \), then the value of \( \sin^3\theta - \cos^3\theta \) is
\( \frac{\sqrt{3}}{\sin(20^\circ) - \frac{1}{\cos(20^\circ)}} = \)
If \( \sin \alpha \) and \( \cos \alpha \) are the roots of the equation \( ax^2 + bx + c = 0 \), then
If the sides of a triangle are 4, 5 and 6 cms. Then the area of triangle is ______ sq.cms.
The value of \( \sin \left(\frac{31\pi}{3}\right) \) is
\( \frac{\sin A - \sin B}{\cos A + \cos B} \) is equal to
\( \sin 15^\circ = \)
The maximum value of \( 5\cos \theta + 3\cos \left(\theta + \frac{\pi}{3}\right) + 3 \) is
If \( \sin\theta - \cos\theta = 1 \), then the value of \( \sin^3\theta - \cos^3\theta \) is
\( \frac{\sqrt{3}}{\sin(20^\circ) - \frac{1}{\cos(20^\circ)}} = \)
If \( \sin \alpha \) and \( \cos \alpha \) are the roots of the equation \( ax^2 + bx + c = 0 \), then
If the sides of a triangle are 4, 5 and 6 cms. Then the area of triangle is ______ sq.cms.
The value of \( \sin \left(\frac{31\pi}{3}\right) \) is
The value of \( \cos \left( \tan^{-1} \left( \frac{3}{4} \right) \right) \) is:
\( \sin 765^{\circ} \) is equal to:
If \( x \in [0, \frac{\pi}{2}] \), \( y \in [0, \frac{\pi}{2}] \) and \( \sin x + \cos y = 2 \), then the value of \( x + y \) is equal to:
The value of \( \cos\left(\frac{\pi}{4} + x\right) + \cos\left(\frac{\pi}{4} - x\right) \) is:
The expression \( \tan\left(\frac{\pi}{4} + \frac{\theta}{2}\right) + \tan\left(\frac{\pi}{4} - \frac{\theta}{2}\right) \) is equal to:
The period of the function $f(x) = \tan(4x - 1)$ is:
The value of \( x \) satisfying the equation \( \tan^{-1} x + \tan^{-1} \left(\frac{2}{3}\right) = \tan^{-1} \left(\frac{7}{4}\right) \) is:
If $\tan A - \tan B = x$ and $\cot B - \cot A = y$, then the expression for $\cot(A - B)$ is:
If $\tan^{-1} x + \tan^{-1} y = \frac{2\pi}{3}$, then the value of $\cot^{-1} x + \cot^{-1} y$ is equal to:
The value of \( \sin^2 \frac{\pi}{8} + \sin^2 \frac{3\pi}{8} + \sin^2 \frac{5\pi}{8} + \sin^2 \frac{7\pi}{8} \) is equal to: