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.

14 of 60 · show all

1. Q9 2026

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

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2. 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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3. 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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4. Q16 Sample paper 2026-27

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

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5. 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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6. Q28 2025

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

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7. Q29 2025

   Prove that…

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8. Q32 2025 (Basic)

   Prove that…

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9. 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)

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10. Q43 2024

    Prove that : tanθ/(1-cotθ) + cotθ/(1-tanθ) = 1 + secθ cosecθ

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11. Q47 2024 (Basic)

    Prove that : $(\cot\theta-\operatorname{cosec}\theta)^2=\dfrac{1-\cos\theta}{1+\cos\theta}$.

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12. Q56 2023

    If $\sin\theta + \cos\theta = \sqrt{3}$, then find the value of $\sin\theta \cdot \cos\theta$.

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13. Q57 2023

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

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14. Q60 2023 (Basic)

    Prove that…

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