Inverse Trigonometric Functions

Bihar Board Class 12 · Mathematics · 106 past questions

11 of 106 · show all

1. Q2 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   $\tan^{-1}\dfrac{x}{y} - \tan^{-1}\dfrac{x-y}{x+y} =$

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2. Q4 2026 Set A2026 Set F

   Prove that $\tan^{-1} 1+\tan^{-1} 2+\tan^{-1} 3=\pi$.

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3. Q5 2026 Set A2026 Set H2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   Find the value of $2\tan^{-1}\frac{1}{3}+\tan^{-1}\frac{1}{7}$.

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4. Q6 2026 Set A

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

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5. Q7 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

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

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6. 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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7. Q15 2026 Set E

   Find the value of $2\tan^{-1}\frac13+\tan^{-1}\frac17$.

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8. Q17 2026 Set F2026 Set B2026 Set D

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

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9. 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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10. Q21 2026 Set H2026 Set E2026 Set C2026 Set D2026 Set J2026 Set B

    Prove that $\tan^{-1}1+\tan^{-1}2+\tan^{-1}3=\pi$.

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11. Q23 2026 Set H

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

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