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← Bihar Board Class 12 PYQ
Inverse Trigonometric Functions
Bihar Board Class 12 · Mathematics · 106 past questions
Topic
Addition and subtraction formulas
10
Principal value of compositions
9
Proofs, conditional identities and equations
9
Complementary-angle identities and sum relations
2
Definitions, domain and principal values
2
Multiple-angle and algebraic simplification forms
2
Derivatives of inverse trig functions
0
Level
Easy
5
Moderate
9
Tough
0
Year
2026
3
2025
4
2024
1
2023
1
2021
0
2019
1
2018
0
2017
0
2016
0
2015
0
9 of 106 ·
show all
Q11
2026 Set A
2026 Set H
2026 Set E
2026 Set C
2026 Set F
2026 Set D
2026 Set J
2026 Set B
If $|x| \le 1$, then $\tan(\cos^{-1}x) =$
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Q17
2026 Set F
2026 Set B
2026 Set D
$\cos^{-1}(\cos\frac{7\pi}{6}) =$
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Q20
2026 Set H
2026 Set E
2026 Set C
2026 Set B
2026 Set F
2026 Set J
2026 Set D
2019 Set F
Prove that $\sec^2(\tan^{-1}2) + \operatorname{cosec}^2(\cot^{-1}3) = 15$
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Q30
2025
$\sin\left[\dfrac{\pi}{3} - \sin^{-1}\left(\dfrac{-1}{2}\right)\right] =$
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Q31
2025
$\sin(\tan^{-1}x) =$, $|x| < 1$
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Q32
2025
$\sin^{-1}\sin\left(\dfrac{3\pi}{5}\right) =$
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Q38
2025 Set A
2025 Set E
$\cot^{-1}\left(\tan\dfrac{\pi}{7}\right) =$
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Q48
2024 Set D
2024 Set J
$\sin(\cot^{-1}x)=$
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Q60
2023
$\sin^{-1}\left(\sin\dfrac{2\pi}{3}\right) =$
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