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.

20 of 60 · show all

Q7 2026

When $\sin A=\frac{1}{3}$, the value of $\cot A$ is
Q8 2026

$\frac{1+\tan^2 A}{1+\cot^2 A}$ equals to…
Q11 2026 (Basic)

The value of $\sin 90^\circ \cos 90^\circ - \sin^2 60^\circ$ is…
Q12 2026 (Basic)

If $\sin\theta=\frac{1}{7}$, then $\tan\theta$ is…
Q13 2026 (Basic)

If $\sin(A - B) = \frac{1}{2}$ and $\tan(A + B) = \sqrt{3}$, $0° \le A + B < 90°$, $A > B$ then find the…
Q15 Sample paper 2026-27

If $\tan (A + B) = \sqrt{3}$ and $\tan (A - B) = \frac{1}{\sqrt{3}}$, $0° < A + B < 90°$, $A > B$, then the…
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…
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…
Q40 2024

If $\sec\theta - \tan\theta = m$, then the value of $\sec\theta + \tan\theta$ is…
Q41 2024

If $\cos(\alpha + \beta) = 0$, then value of $\cos\left(\frac{\alpha + \beta}{2}\right)$ is equal to…
Q42 2024

Evaluate : $2\sqrt{2}\cos 45^{\circ}\sin 30^{\circ} + 2\sqrt{3}\cos 30^{\circ}$
Q44 2024 (Basic)

If $\sin\theta = \frac{1}{3}$, then $\sec\theta$ is equal to…
Q45 2024 (Basic)

For what value of $\theta$, $\sin^2\theta + \sin\theta + \cos^2\theta$ is equal to 2 ?
Q46 2024 (Basic)

Evaluate: $\sin A \cos B + \cos A \sin B$; if $A = 30°$ and $B = 45°$.
Q54 2023

If $2 \tan A = 3$, then the value of $\frac{4 \sin A + 3 \cos A}{4 \sin A - 3 \cos A}$ is
Q55 2023

$\left[\frac{3}{4}\tan^2 30° - \sec^2 45° + \sin^2 60°\right]$ is equal to
Q58 2023 (Basic)

If $2\cos\theta = 1$, then the value of $\theta$ is
Q59 2023 (Basic)

Evaluate : $\tan^2 60^\circ - 2\,\text{cosec}^2 30^\circ - 2\tan^2 30^\circ$.