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.

17 of 60 · show all

1. Q1 2026

   Given that $\sin 2\alpha = \frac{\sqrt{3}}{2}$, the value of $\sin 3\alpha$ is…

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2. Q2 2026

   The value of $\left(\frac{1}{2}\tan^2 45^\circ - \cos^2 60^\circ\right)$ is…

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3. Q3 2026

   For an acute angle $\theta$, if $\sin\theta=\frac{1}{9}$, then value of…

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4. Q4 2026

   Simplest form of $\frac{\sec A}{\sqrt{\sec^2A-1}}$ is

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5. Q5 2026

   Evaluate : $\frac{\sin^3 60^\circ - \tan 30^\circ}{\cos^2 45^\circ}$

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6. Q6 2026

   Prove that…

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7. Q7 2026

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

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8. Q8 2026

   $\frac{1+\tan^2 A}{1+\cot^2 A}$ equals to…

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9. Q9 2026

   Prove that : $\sqrt{\dfrac{1+\sin A}{1-\sin A}} = \sec A + \tan A$

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10. Q10 2026

    Prove that : $\frac{\sin\theta-\cos\theta+1}{\sin\theta+\cos\theta-1}=\frac{1}{\sec\theta-\tan\theta}$

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11. Q11 2026 (Basic)

    The value of $\sin 90^\circ \cos 90^\circ - \sin^2 60^\circ$ is…

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12. Q12 2026 (Basic)

    If $\sin\theta=\frac{1}{7}$, then $\tan\theta$ is…

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13. 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…

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14. Q14 2026 (Basic)

    Prove that $\frac{\cot A - \cos A}{\cot A + \cos A} = \frac{\sec A - \tan A}{\sec A + \tan A}$

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15. 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…

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16. Q16 Sample paper 2026-27

    If $\tan\theta = \frac{1}{\sqrt{5}}$, then find the value of…

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17. Q17 Sample paper 2026-27

    During a math class, Ms. Isha wrote the expression given below on the board and asked the students to…

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