List of top Mathematics Questions on Trigonometric Functions asked in KCET

If y = a sin x + b cos x, then y² + \((\frac{dy}{dx})^2\) is a

The degree measure of \(\frac{\pi}{32}\) is equal to

The value of \(\sin \frac{5\pi}{12} \sin \frac{\pi}{12}\) is

\(\sqrt{2 + \sqrt{2 + \sqrt{2 + 2\cos(8\theta)}}}\)=

If \(\frac{dy}{dx} + \frac{y}{x} = x^2\) then \(2y (2) - y (1) =\)

If \(y = (1+x^2) \tan^{-1}(x) - x\). Then \(\frac{dy}{dx}\) is

If \(y = x^{\sin(x)} + (\sin(x))^x\), then \(\left. \frac{dy}{dx} \right|_{x = \frac{\pi}{2}}\) is

If the vertices of triangle are (-2,6), (3,-6) and (1,5), then the area of the triangle is

If A is matrix of order 3x3, then \((A^2)^{-1}\) is equal to

The value of cos 1200° + tan 1485° is

If $|tan \,A + \cot \,A = 2$, then the value of $\tan^4 A + \cot^ 4 A = $

The value of $\sin^2 51^\circ + \sin^2 39^\circ$ is

If cos x = |sin x| then, the general solution is

$\sqrt{3}\, cosec \,20^{\circ} - \sec\, 20^{\circ}$ =

The value of $cos^2 \, 45^{\circ} - sin^2 \, 15^{\circ}$ is

The general solution of $\cot\, \theta + \tan\, \theta = 2$ is

The value of the $\sin \; 1^{\circ} + \sin \; 2^{\circ} +......+ \sin 359^{\circ}$ is equal to

The value of $\tan \frac{\pi}{8}$ is equal to

The value of $ \tan( 1^\circ) +\, tan(89^\circ)$ is

In a triangle $ABC, a[b \,cos \,C - c\, cos\, B]$ =

If $\sin x- \sin y = \frac {1}{2}$ and $\cos x- \cos y = 1$, then $ \tan(x + y) $ is equal to

The range of the function $f(x)= \sin [x],-\frac {\pi}{4} < x < \frac {\pi}{4}$ where $[x]$ denotes the greatest integer $\leq x$, is ________

Angles of elevation of the top of a tower from three points (collinear) $A, B$ and $ C$ on a road leading to the foot of the tower are $30^\circ$, $45^\circ$ and $60^\circ$ respectively. The ratio of $AB$ to $BC$ is