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. Q44 2024 Set D

   $\cos^{-1}\left(-\frac12\right)=$

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3. Q45 2024 Set D2024 Set J

   $x\in[-1,1]$, $\cos^{-1}x=$

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4. Q46 2024 Set D2024 Set J

   $x\in[-1,1]$, $\sin^{-1}(-x)=$

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5. Q47 2024 Set D

   $\operatorname{cosec}^{-1}x=\ldots\ldots\ldots\ldots$ ; $x\ge1$ or $\le-1$.

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6. Q48 2024 Set D2024 Set J

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

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7. Q49 2024 Set D2024 Set J

   Prove that $4(\cot^{-1}3+\cot^{-1}2)=\pi$.

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8. Q50 2024 Set D2024 Set J

   Prove that $\sin^{-1}\frac{4}{5}+\sin^{-1}\frac{5}{13}+\sin^{-1}\frac{16}{65}=\frac{\pi}{2}$.

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9. Q51 2024 Set D2024 Set J

   $\tan\left[\tan^{-1}\dfrac{1}{3}+\tan^{-1}\dfrac{1}{2}\right]=$

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10. Q52 2024 Set D2024 Set J

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

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11. Q53 2024 Set D2024 Set J

    $\tan^{-1}\sqrt{3} - \sec^{-1}(-2) =$

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12. Q54 2024 Set J

    $\cos^{-1}\left(-\dfrac{1}{2}\right)$

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13. Q55 2024 Set J

    $\operatorname{cosec}^{-1}x=\ldots\ldots\ldots$ ; $x\ge1$ or $\le-1$.

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14. Q56 2024 Set J

    $\frac{d}{dx}(\sec^{-1}x+\operatorname{cosec}^{-1}x) =$

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