List of top Mathematics Questions on Trigonometry asked in MET

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

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

\(\cos^{-1}\{\cos 2\cot^{-1}(\sqrt{2} - 1)\}\) 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?

If $3\sin^{-1}\!\left(\dfrac{2x}{1+x^{2}}\right) - 4\cos^{-1}\!\left(\dfrac{1-x^{2}}{1+x^{2}}\right) + 2\tan^{-1}\!\left(\dfrac{2x}{1-x^{2}}\right) = \dfrac{\pi}{3}$, then $x$ equals

If $\tan^{-1}x + \tan^{-1}y + \tan^{-1}z = \pi$, then $x + y + z$ is

In triangle ABC, $(a^2+b^2)\cos A + (b^2+c^2)\cos B + (c^2+a^2)\cos C$ is equal to

If $\cos^{-1}x + \cos^{-1}y = 2\pi$, then the value of $\sin^{-1}x + \sin^{-1}y$ is equal to

If $4\sin^{-1}x + \cos^{-1}x = \pi$, then $x$ is equal to

If $\tan^{-1}x + \tan^{-1}y + \tan^{-1}z = \pi$, then the value of $x + y + z - xyz$ is

The period of \( \sin(4x + \cos^{4} x) \) is

\( \frac{\cos x}{\cos(x - 2y)} = \lambda \Rightarrow \tan(x - y)\tan y \) is equal to

\( \cos A \cos 2A \cos 4A \cdots \cos 2^{\,n-1}A \) equals

\( \sinh^{-1} 2 + \sinh^{-1} 3 = x \Rightarrow \cosh x \) is equal to

In a \( \Delta ABC \), \( \frac{(a+b+c)(b+c-a)(c+a-b)(a+b-c)}{4b^{2}c^{2}} \) equals

P is a point on the segment joining the feet of two vertical poles of heights a and b. The angles of elevation of the tops of the poles from P are $45^{\circ$ each. Then, the square of the distance between the tops of the poles is