Inverse Trigonometric Functions

Bihar Board Class 12 · Mathematics · 106 past questions

16 of 106 · show all

1. Q1 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   $x \in R$, $\cot(\tan^{-1}x + \cot^{-1}x) =$

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2. Q40 2025 Set A2025 Set E

   $\tan\left\{\frac{1}{2}\left(\tan^{-1}x+\tan^{-1}\frac{1}{x}\right)\right\}=$

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3. Q45 2024 Set D2024 Set J

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

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4. Q63 2023

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

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5. Q64 2023

   $x \in R, \text{cosec}(\tan^{-1}x + \cot^{-1}x) =$

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6. Q65 2023

   $|x| \ge 1, \tan\left[\dfrac{2}{3}(\tan^{-1}x + \cot^{-1}x)\right] =$

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7. Q66 2023 Set E

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

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8. Q67 2023 Set E

   $x \in R$, $\operatorname{cosec}\left(\tan^{-1}x + \cot^{-1}x\right) =$

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9. Q68 2023 Set E

   $|x| \geq 1$, $\tan\left[\frac{2}{3}\left(\tan^{-1}x + \cot^{-1}x\right)\right] =$

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10. Q72 2021 Set I

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

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11. Q75 2021 Set I

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

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12. Q82 2021 Set J2021 Set I

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

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13. Q83 2021 Set J

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

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14. Q90 2019 Set F

    $\tan^{-1}x + \cot^{-1}x = ?$

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15. Q97 2017

    Prove that $\tan^{-1}x+\cot^{-1}x=\frac{\pi}{2}$

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16. Q99 2016

    $\tan^{-1}x+\cot^{-1}x=$

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