List of top Mathematics Questions on Trigonometry asked in MET

In \(\triangle ABC\), \(\sin A, \sin B, \sin C\) are in A.P. and \(C>90^\circ\). Then \(\cos A\) is:

If in a \(\triangle ABC\), \(\sin^2 A + \sin^2 B + \sin^2 C = 2\), then the triangle is always:

Set of values of \(x\) lying in \([0,2\pi]\) satisfying the inequality \( |\sin x|>2\sin^2 x \) contains:

For what value of \( \theta \) lying between \(0\) and \( \pi \) which satisfy inequality \( \sin\theta \cos^3\theta>\sin^3\theta \cos\theta \)

If \(\sec A - \tan A + a = 0\), then \(\sin A\) is equal to

If \(A, B, C\) are the angles of a triangle, then \(\cos B + \cos C - \cos A + 1\) is equal to

\(\cot^2\left(\frac{\pi}{4} + \frac{\theta}{2}\right)\) is equal to

\(\cos\frac{\pi}{12} + \cos\frac{17\pi}{12} + \cos\frac{11\pi}{12}\) is equal to

\(\frac{\cos\theta}{1-\tan\theta} + \frac{\sin\theta}{1-\cot\theta}\) is equal to

If \(\sin\theta = -\frac{24}{25}\) and \(\theta\) is in the 4th quadrant, \(7\tan\theta + 25\cos\theta\) is equal to

A man is standing on the horizontal plane. The angle of elevation of top of the pole is \(\alpha\). If he walks a distance double the height of the pole, then the elevation of the pole is \(2\alpha\). The value of \(\alpha\) is

In \(\triangle ABC\), if \(3a = b + c\), then value of \(\cot\frac{B}{2}\cot\frac{C}{2}\) is:

The maximum value of \(3\cos\theta + 4\sin\theta\) is

In \(\triangle ABC\), \(\frac{b - c}{r_1} + \frac{c - a}{r_2} + \frac{a - b}{r_3}\) is equal to

\(\cos^{-1}\{\cos 2\cot^{-1}(\sqrt{2} - 1)\}\) is equal to

The triangle PQR of which the angles P, Q, R satisfy \(\cos P = \sin Q = 2 \sin R\) is

The period of \(f(x) = \sin\left(\frac{\pi x}{n-1}\right) + \cos\left(\frac{\pi x}{n}\right)\), \(n \in \mathbb{Z}\), \(n>2\) is

For \(\theta>\pi/3\) the value of \(f(\theta) = \sec^2\theta + \cos^2\theta\) always lies in the interval

The radius of the circle whose arc of length 15 cm makes an angle of 3/4 radian at the centre, is

If \(\cos P = 1/7\) and \(\cos Q = 13/14\), where P and Q both are acute angles. Then the value of \(P - Q\) is

The equation \(3\cos x + 4\sin x = 6\) has ... solution.

If \(\sec^{-1}x = \csc^{-1}y\), then \(\cos^{-1}(1/x) + \cos^{-1}(1/y)\) is equal to

If \(\tan\theta = -4/3\), then the value of \(\sin\theta\) is

$\sin^{-1}\dfrac{1}{\sqrt{5}} + \cos^{-1}\dfrac{3}{\sqrt{10}}$ is equal to

If $\sin(\pi \cos \theta) = \cos(\pi \sin \theta)$, then which of the following is correct?