Introduction to Trigonometry

CBSE Class 10 · Mathematics · 60 past questions

These are the board's own papers. 130 more board questions reprinted in the books we use in class are for signed-in students: sign in.

16 of 60 · show all

Q18 2025

If $7\cos^2\theta + 3\sin^2\theta = 4$, then the value of $\theta$ is…
Q19 2025

If $\sin 30^\circ \tan 45^\circ = \frac{\sec 60^\circ}{k}$, then the value of k is…
Q20 2025

If $\tan A = \sqrt{3}$; where A is an acute angle, then find the value of $\frac{\sin^2 A}{1 + \cos^2 A}$.
Q21 2025

Prove that…
Q22 2025

If $\tan 3\theta = \sqrt{3}$, then $\frac{\theta}{2}$ equals…
Q23 2025

(cot θ + tan θ) equals…
Q24 2025

If $4k = \tan^2 60^\circ - 2\operatorname{cosec}^2 30^\circ - 2\tan^2 30^\circ$, then find the value of k.
Q25 2025

Prove that: $\sqrt{\frac{\sec A-1}{\sec A+1}}+\sqrt{\frac{\sec A+1}{\sec A-1}}=2\operatorname{cosec}A$
Q26 2025

If $\theta$ is an acute angle and $7 + 4\sin\theta = 9$, then the value of $\theta$ is…
Q27 2025

The value of $\tan^2\theta - \left(\frac{1}{\cos\theta} \times \sec\theta\right)$ is…
Q28 2025

If $x\cos 60^\circ + y\cos 0^\circ + \sin 30^\circ - \cot 45^\circ = 5$, then find the value of $x + 2y$.
Q29 2025

Prove that…
Q30 2025 (Basic)

Which of the following statements is *false* ?
Q31 2025 (Basic)

The value of $\left(\tan^2 A - \frac{1}{\cos^2 A}\right)$ is…
Q32 2025 (Basic)

Prove that…
Q33 2025 (Basic)

An injured bird was found on the roof of a building. The building is 15 m high. A fireman was called to… (with a figure)