Inverse Trigonometric Functions

Bihar Board Class 12 · Mathematics · 106 past questions

9 of 106 · show all

1. Q30 2025

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

   Try it →
2. Q31 2025

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

   Try it →
3. Q32 2025

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

   Try it →
4. Q35 2025

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

   Try it →
5. Q36 2025

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

   Try it →
6. Q37 2025

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

   Try it →
7. Q38 2025 Set A2025 Set E

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

   Try it →
8. Q41 2025 Set A2025 Set E

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

   Try it →
9. Q43 2025 Set A2025 Set E

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

   Try it →