Introduction to Trigonometry

CBSE Class 10 · Mathematics · 60 past questions

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14 of 60 · show all

1. Q34 2024

   If $\cos\theta = \frac{\sqrt{3}}{2}$ and $\sin\phi = \frac{1}{2}$, then $\tan(\theta + \phi)$ is…

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2. Q35 2024

   Evaluate : $\frac{\cos 45° + \sin 60°}{\sec 30° + \operatorname{cosec} 30°}$.

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3. Q36 2024

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

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4. Q37 2024

   If $\sin\theta = \cos\theta$, $(0° < \theta < 90°)$, then value of $(\sec\theta \cdot \sin\theta)$ is…

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5. Q38 2024

   Evaluate : $2\sin^2 30^\circ \sec 60^\circ + \tan^2 60^\circ$.

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6. Q39 2024

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

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7. Q40 2024

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

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8. Q41 2024

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

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9. Q42 2024

   Evaluate : $2\sqrt{2}\cos 45^{\circ}\sin 30^{\circ} + 2\sqrt{3}\cos 30^{\circ}$

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10. Q43 2024

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

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11. Q44 2024 (Basic)

    If $\sin\theta = \frac{1}{3}$, then $\sec\theta$ is equal to…

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12. Q45 2024 (Basic)

    For what value of $\theta$, $\sin^2\theta + \sin\theta + \cos^2\theta$ is equal to 2 ?

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13. Q46 2024 (Basic)

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

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14. Q47 2024 (Basic)

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

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