List of top Mathematics Questions on Trigonometry asked in KEAM

If \(\cos^{-1} x - \sin^{-1} x = \frac{\pi}{6}\), then \(x\) is equal to
The value of $10 \tan(\cot^{-1}3+\cot^{-1}7)$ is equal to
If $\tan x+\tan y=\frac{5}{6}$ and $\cot x+\cot y=5$ then $\tan(x+y)$ is
$\frac{\sin 91^{\circ}+\sin 1^{\circ}}{\sin 91^{\circ}-\sin 1^{\circ}}=$
The value of $\cos(\cos^{-1}\frac{1}{5}+2\sin^{-1}\frac{1}{5})$ is equal to
The value of $\theta$ with $0\le\theta\le90^{\circ}$ and $\sin^{2}\theta+2\cos^{2}\theta=\frac{7}{4}$ is equal to
The value of $\sin^{2}1^{\circ}+\sin^{2}2^{\circ}+\sin^{2}3^{\circ}+\dots+\sin^{2}88^{\circ}+\sin^{2}89^{\circ}$ is equal to
The value of $\sin^{4}\frac{\pi}{8}+\sin^{4}\frac{3\pi}{8}$ is equal to
The value of $\sin(45^{\circ}+\theta)-\cos(45^{\circ}-\theta)$ is equal to
The values of x in $0\le x\le\pi$ such that $\cos 2x=\cos x$ are
The value of $\tan\left[\sin^{-1}\left(\frac{5}{13}\right) + \cot^{-1}\left(\frac{4}{3}\right)\right]$ is
If $\tan^{-1}x + 2\cot^{-1}x = \frac{\pi}{3}$, then the value of $x$ is
Which of the following is not a solution of the equation $3\tan^2\theta - \sin\theta = 0$?
The value of \( \tan \frac{\pi}{8} \) is
Let \( \cot \theta = -5/12 \) where \( \frac{\pi}{2} < \theta < \pi \). Then the value of \( \sin \theta \) is
The value of \( \tan\left[ \sin^{-1}\left(\frac{-1}{\sqrt{2}}\right) \right] \) is
If \( \sin^{-1} x + \cos^{-1} 2x = \frac{\pi}{6} \), then the value of \( x \) 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 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 the sides of a triangle are 4, 5 and 6 cms. Then the area of triangle is ______ sq.cms.