Inverse Trigonometric Functions

Bihar Board Class 12 · Mathematics · 106 past questions

14 of 106 · show all

1. Q10 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set J2024 Set J2024 Set D

   $\cos^{-1}\left(\cos\dfrac{7\pi}{6}\right) =$

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2. Q11 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   If $|x| \le 1$, then $\tan(\cos^{-1}x) =$

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3. Q16 2026 Set E2026 Set C2026 Set D

   $\sin(\cos^{-1}\frac{3}{5}) =$

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4. Q17 2026 Set F2026 Set B2026 Set D

   $\cos^{-1}(\cos\frac{7\pi}{6}) =$

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5. Q18 2026 Set F

   $\sin(\cos^{-1} 3/5) =$

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6. Q20 2026 Set H2026 Set E2026 Set C2026 Set B2026 Set F2026 Set J2026 Set D2019 Set F

   Prove that $\sec^2(\tan^{-1}2) + \operatorname{cosec}^2(\cot^{-1}3) = 15$

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7. Q24 2026 Set J2026 Set A2026 Set B2026 Set H

   $\sin(\cos^{-1}3/5) =$

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8. Q30 2025

   $\sin\left[\dfrac{\pi}{3} - \sin^{-1}\left(\dfrac{-1}{2}\right)\right] =$

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9. Q31 2025

   $\sin(\tan^{-1}x) =$, $|x| < 1$

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10. Q32 2025

    $\sin^{-1}\sin\left(\dfrac{3\pi}{5}\right) =$

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11. Q38 2025 Set A2025 Set E

    $\cot^{-1}\left(\tan\dfrac{\pi}{7}\right) =$

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12. Q48 2024 Set D2024 Set J

    $\sin(\cot^{-1}x)=$

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13. Q60 2023

    $\sin^{-1}\left(\sin\dfrac{2\pi}{3}\right) =$

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14. Q61 20232023 Set E

    $\sin\left(\sin^{-1}\frac{1}{2}\right) =$

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