Inverse Trigonometric Functions

Bihar Board Class 12 · Mathematics · 106 past questions

15 of 106 · show all

1. Q57 2023

   $|x| \le 1$, $2\tan^{-1}x =$

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2. Q58 20232023 Set E

   $x \in R, \cot^{-1}x =$

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3. Q59 20232023 Set E

   $\tan^{-1}\left(\dfrac{x+y}{1-xy}\right) =$

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4. Q60 2023

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

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5. Q61 20232023 Set E

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

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6. Q62 20232023 Set E

   $\sin^{-1}x + \sin^{-1}y =$

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7. Q63 2023

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

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8. Q64 2023

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

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9. Q65 2023

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

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10. Q66 2023 Set E

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

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11. Q67 2023 Set E

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

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12. 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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13. Q69 2023 Set E

    $|x|\le 1,\ 2\tan^{-1}x=$

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14. Q70 2023 Set E

    Find the principal value of $\mathrm{cosec}^{-1}\,2$.

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15. Q71 2023 Set E

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

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