Inverse Trigonometric Functions

Bihar Board Class 12 · Mathematics · 106 past questions

9 of 106 · show all

1. Q4 2026 Set A2026 Set F

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

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2. Q6 2026 Set A

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

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3. Q35 2025

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

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4. Q36 2025

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

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5. Q37 2025

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

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6. Q49 2024 Set D2024 Set J

   Prove that $4(\cot^{-1}3+\cot^{-1}2)=\pi$.

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7. Q77 2021 Set J2021 Set I2018

   Prove that…

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8. Q94 2018

   Prove that $\sin^{-1}\frac{3}{5}-\cos^{-1}\frac{12}{13}=\sin^{-1}\frac{16}{65}$

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9. Q102 2016

   Solve for x: $\tan^{-1}2x+\tan^{-1}3x=\frac{\pi}{4}$

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