Introduction to Trigonometry

CBSE Class 10 · Mathematics · 60 past questions

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1. Q48 2023

   If $4\cot^2 45^\circ - \sec^2 60^\circ + \sin^2 60^\circ + p = \frac{3}{4}$, then find the value of p.

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2. Q49 2023

   Prove that…

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3. Q50 2023

   If a pole 6 m high casts a shadow $2\sqrt{3}$ m long on the ground, then sun's elevation is…

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4. Q51 2023

   $\sec\theta$ when expressed in terms of $\cot\theta$, is equal to…

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5. Q52 2023

   Evaluate $\frac{5\cos^2 60^\circ + 4\sec^2 30^\circ - \tan^2 45^\circ}{\sin^2 30^\circ + \cos^2 30^\circ}$

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6. Q53 2023

   Prove that $\frac{\sin A - 2\sin^3 A}{2\cos^3 A - \cos A} = \tan A$

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7. 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

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8. Q55 2023

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

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9. Q56 2023

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

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10. 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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11. Q58 2023 (Basic)

    If $2\cos\theta = 1$, then the value of $\theta$ is

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12. Q59 2023 (Basic)

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

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13. Q60 2023 (Basic)

    Prove that…

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