List of top Mathematics Questions on Trigonometric Functions asked in MHT CET

Find the value of the following expression: \[ \sin^2(30^\circ) + \cos^2(60^\circ) \]

The value of \(\sin^2 5^\circ + \sin^2 10^\circ + \dots + \sin^2 85^\circ + \sin^2 90^\circ =\)

In a triangle ABC, with usual notations $a = 2$, $b = 3$, $c = 5$, then $\frac{\cos A}{a} + \frac{\cos B}{b} + \frac{\cos C}{c} =$

The area of the triangle ABC is $10\sqrt{3}\ \text{cm}^2$, angle B is $60^\circ$ and its perimeter is $20\ \text{cm}$, then $\ell(\text{AC}) =$

With usual notations, perimeter of a triangle \( ABC \) is 6 times the arithmetic mean of sine of its angles. If \( a = 1 \), then measure of angle \( A = \)

If $\frac{\pi}{2} < \theta < \pi$ and $|\bar{a}| = 5$, $|\bar{b}| = 13$, $|\bar{a} \times \bar{b}| = 25$, then the value of $\bar{a} \cdot \bar{b}$ is

If $\cos x = \frac{24}{25}$ and $x$ lies in first quadrant, then $\sin \frac{x}{2} + \cos \frac{x}{2} =$

The value of $\sin 18^{\circ}$ is

With usual notations if the angles of a triangle are in the ratio 1 : 2 : 3, then their corresponding sides are in the ratio