Inverse Trigonometric Functions PYQs - Last 5 Years
JEE Main / Mathematics / Trigonometry / 60 recent questions
MathematicsTrigonometry2022-2026
Practice 60 JEE Main Mathematics questions from Inverse Trigonometric Functions. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
60
PYQs on Page
Mathematics / Trigonometry
2022-2026
Year Range
Based on indexed question metadata
60
Last 5 Years
2022-2026
60
Last 10 Years
2017-2026
Recent Year Trend
2022
2023
2024
2025
2026Latest year
202220 max PYQs/year2026
Question Types
60PYQs
MCQ73.3%
INTEGER25%
MCQM1.7%
Difficulty Mix
#1 Medium53
#2 Hard4
#3 Easy3
60 in last 5 years60 in last 10 years
Last 5 Years Inverse Trigonometric Functions Questions
Showing 10 of 60 filtered questions.
1Inverse Trigonometric Functions
For \(k \in \mathbb{R}\), let the solutions of the equation \(\cos \left(\sin ^{-1}\left(x \cot \left(\tan ^{-1}\left(\cos \left(\sin ^{-1} x\right)\right)\right)\right)\right)=k, 0<|x|<\frac{1}{\sqrt{2}}\) be \(\alpha\) and \(\beta\), wher...
INTEGER+4 / -12022
2Inverse Trigonometric Functions
The domain of the function \(f(x)=\sin ^{-1}\left[2 x^{2}-3\right]+\log _{2}\left(\log _{\frac{1}{2}}\left(x^{2}-5 x+5\right)\right)\), where [t] is the greatest integer function, is :
MCQ+4 / -12022
3Inverse Trigonometric Functions
If the inverse trigonometric functions take principal values then $${\cos ^{ - 1}}\left( {{3 \over {10}}\cos \left( {{{\tan }^{ - 1}}\left( {{4 \over 3}} \right)} \right) + {2 \over 5}\sin \left( {{{\tan }^{ - 1}}\left( {{4 \over 3}} \right...
MCQ+4 / -12022
4Inverse Trigonometric Functions
\(\tan \left(2 \tan ^{-1} \frac{1}{5}+\sec ^{-1} \frac{\sqrt{5}}{2}+2 \tan ^{-1} \frac{1}{8}\right)\) is equal to :
MCQ+4 / -12022
5Inverse Trigonometric Functions
If \(0 < x < {1 \over {\sqrt 2 }}\) and \({{{{\sin }^{ - 1}}x} \over \alpha } = {{{{\cos }^{ - 1}}x} \over \beta }\), then the value of \(\sin \left( {{{2\pi \alpha } \over {\alpha + \beta }}} \right)\) is :
MCQ+4 / -12022
6Inverse Trigonometric Functions
The value of \({\tan ^{ - 1}}\left( {{{\cos \left( {{{15\pi } \over 4}} \right) - 1} \over {\sin \left( {{\pi \over 4}} \right)}}} \right)\) is equal to :
MCQ+4 / -12022
7Inverse Trigonometric Functions
Let \(x = \sin (2{\tan ^{ - 1}}\alpha )\) and \(y = \sin \left( {{1 \over 2}{{\tan }^{ - 1}}{4 \over 3}} \right)\). If \(S = \{ a \in R:{y^2} = 1 - x\}\), then \(\sum\limits_{\alpha \in S}^{} {16{\alpha ^3}}\) is equal to _______________...
INTEGER+4 / -12022
8Inverse Trigonometric Functions
The domain of the function \(f(x) = {{{{\cos }^{ - 1}}\left( {{{{x^2} - 5x + 6} \over {{x^2} - 9}}} \right)} \over {{{\log }_e}({x^2} - 3x + 2)}}\) is :
MCQ+4 / -12022
9Inverse Trigonometric Functions
The set of all values of k for which \({({\tan ^{ - 1}}x)^3} + {({\cot ^{ - 1}}x)^3} = k{\pi ^3},\,x \in R\), is the interval :
MCQ+4 / -12022
10Inverse Trigonometric Functions
Let \(x * y = {x^2} + {y^3}\) and \((x * 1) * 1 = x * (1 * 1)\).
Then a value of \(2{\sin ^{ - 1}}\left( {{{{x^4} + {x^2} - 2} \over {{x^4} + {x^2} + 2}}} \right)\) is :
Then a value of \(2{\sin ^{ - 1}}\left( {{{{x^4} + {x^2} - 2} \over {{x^4} + {x^2} + 2}}} \right)\) is :
MCQ+4 / -12022