Inverse Trigonometric Functions

Bihar Board Class 12 · Mathematics · 106 past questions

14 of 106 · show all

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

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

   Try it →
2. Q5 2026 Set A2026 Set H2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

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

   Try it →
3. Q7 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

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

   Try it →
4. Q15 2026 Set E

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

   Try it →
5. Q21 2026 Set H2026 Set E2026 Set C2026 Set D2026 Set J2026 Set B

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

   Try it →
6. Q42 2025 Set A2025 Set E

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

   Try it →
7. Q51 2024 Set D2024 Set J

   $\tan\left[\tan^{-1}\dfrac{1}{3}+\tan^{-1}\dfrac{1}{2}\right]=$

   Try it →
8. Q59 20232023 Set E

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

   Try it →
9. Q62 20232023 Set E

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

   Try it →
10. Q73 2021 Set I

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

    Try it →
11. Q86 2021 Set J

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

    Try it →
12. Q92 2018

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

    Try it →
13. Q96 2017

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

    Try it →
14. Q106 2015

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

    Try it →