Inverse Trigonometric Functions

Bihar Board Class 12 · Mathematics · 106 past questions

17 of 106 · show all

1. Q8 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2021 Set J2021 Set I

   $\tan^{-1}\left(-\dfrac{1}{\sqrt{3}}\right) =$

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2. Q39 2025 Set A20252025 Set E2021 Set J2021 Set I

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

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3. Q72 2021 Set I

   $\sin(\sec^{-1}x+\operatorname{cosec}^{-1}x) =$

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4. Q73 2021 Set I

   $2\tan^{-1}\dfrac13+\tan^{-1}\dfrac17 =$

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5. Q74 2021 Set I

   $\operatorname{cosec}^{-1}(-x) =$

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6. Q75 2021 Set I

   $\cos^{-1}(2x) + \sin^{-1}(2x) = \ldots\ldots\ldots,\ 2x \in [-1, 1]$

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7. Q76 2021 Set I

   $\cot^{-1}\dfrac{1}{x} = \ldots\ldots\ldots\ (x > 0)$

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8. Q77 2021 Set J2021 Set I2018

   Prove that…

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9. Q78 2021 Set J

   $\operatorname{cosec}^{-1}(2)$

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10. Q79 2021 Set J2021 Set I

    $\cos^{-1}\dfrac{1-x^2}{1+x^2} = \ldots\ldots\ldots\ldots,\ (|x|\le 1)$

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11. Q80 2021 Set J2021 Set I

    $3\sin^{-1}x = \ldots\ldots\ldots\ldots,\ |x|\le\dfrac12$

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12. Q81 2021 Set J2021 Set I

    $\tan^{-1} 1 =$

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13. Q82 2021 Set J2021 Set I

    $\cos(\sec^{-1} x + \operatorname{cosec}^{-1} x) =$

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14. Q83 2021 Set J

    $\cos^{-1}(2x)+\sin^{-1}(2x)=$ ............, $2x\in[-1,1]$

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15. Q84 2021 Set J2021 Set I

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

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16. Q85 2021 Set J

    $\cot^{-1}\frac{1}{x}=$ ............, $(x>0)$

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17. Q86 2021 Set J

    $2\tan^{-1}\frac{1}{3} + \tan^{-1}\frac{1}{7} =$

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