Inverse Trigonometric Functions

Bihar Board Class 12 · Mathematics · 106 past questions

10 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. 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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3. 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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4. Q15 2026 Set E

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

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5. 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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6. Q73 2021 Set I

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

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7. Q86 2021 Set J

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

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8. Q92 2018

   $2\cot^{-1}3+\cos^{-1}7=$

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9. Q96 2017

   $\tan^{-1}\frac{1}{2} + \tan^{-1}\frac{1}{4} = \ldots\ldots\ldots\ldots$

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10. Q106 2015

    Prove that $4\left(\cot^{-1}3+\operatorname{cosec}^{-1}\sqrt{5}\right)=\pi$

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