Inverse Trigonometric Functions

Bihar Board Class 12 · Mathematics · 106 past questions

18 of 106 · show all

1. Q26 2025

   Find the value of…

   Try it →
2. Q27 2025

   $\tan^{-1}\left(\tan\dfrac{3\pi}{4}\right)$

   Try it →
3. Q28 2025

   $\cos^{-1}\left(\dfrac{-1}{\sqrt{2}}\right) =$

   Try it →
4. Q29 20252025 Set A2025 Set E

   $\tan^{-1}(-\sqrt{3}) =$

   Try it →
5. Q30 2025

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

   Try it →
6. Q31 2025

   $\sin(\tan^{-1}x) =$, $|x| < 1$

   Try it →
7. Q32 2025

   $\sin^{-1}\sin\left(\dfrac{3\pi}{5}\right) =$

   Try it →
8. Q33 2025

   Domain of $\text{cosec}^{-1}x$ is

   Try it →
9. Q34 2025

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

   Try it →
10. Q35 2025

    If $\cos^{-1}\alpha + \cos^{-1}\beta + \cos^{-1}\gamma = 3\pi$, then find the value of…

    Try it →
11. Q36 2025

    Solve the equation $\cos(\tan^{-1}x) = \sin\left(\cot^{-1}\frac{3}{4}\right)$.

    Try it →
12. Q37 2025

    Prove that $\sin^{-1}\frac{5}{13} + \cos^{-1}\frac{3}{5} = \tan^{-1}\frac{63}{16}$.

    Try it →
13. Q38 2025 Set A2025 Set E

    $\cot^{-1}\left(\tan\dfrac{\pi}{7}\right) =$

    Try it →
14. Q39 2025 Set A20252025 Set E2021 Set J2021 Set I

    $\tan^{-1}\sqrt{3} - \cot^{-1}(-\sqrt{3}) =$

    Try it →
15. Q40 2025 Set A2025 Set E

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

    Try it →
16. Q41 2025 Set A2025 Set E

    $\cos^{-1}x+\sec^{-1}\frac{1}{x}=$

    Try it →
17. Q42 2025 Set A2025 Set E

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

    Try it →
18. Q43 2025 Set A2025 Set E

    $\sin\left\{\sin^{-1}\frac{1}{5}+\cos^{-1}x\right\}=1,\ \Rightarrow x=$

    Try it →