Inverse Trigonometric Functions PYQs - Last 5 Years
JEE Advanced / Mathematics / Trigonometry / 6 recent questions
MathematicsTrigonometry2022-2026
Practice 6 JEE Advanced 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.
6
PYQs on Page
Mathematics / Trigonometry
2022-2026
Year Range
Based on indexed question metadata
6
Last 5 Years
2022-2026
6
Last 10 Years
2017-2026
Recent Year Trend
2022
2023
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2025
2026Latest year
20222 max PYQs/year2026
Question Types
6PYQs
MCQ66.7%
INTEGER33.3%
Difficulty Mix
#1 Hard3
#2 Medium2
#3 Easy1
6 in last 5 years6 in last 10 years
Last 5 Years Inverse Trigonometric Functions Questions
Showing 6 of 6 filtered questions.
1Inverse Trigonometric Functions
Considering only the principal values of the inverse trigonometric functions, the value of \(\cot^{-1}(\cot(-11)) + 10 \sin\left(2 \cos^{-1}\left(\frac{1}{\sqrt{2}}\right)\right) + 10\sin(2 \tan^{-1}(2))\)is
MCQ+3 / -12026
2Inverse Trigonometric Functions
The total number of real solutions of the equation
$ \theta = \tan^{-1}(2 \tan \theta) - \frac{1}{2} \sin^{-1}\left(\frac{6 \tan \theta}{9 + \tan^2 \theta}\right) $
is
(Here, the inverse trigonometric functions $\sin^{-1} x$ and $\tan^{-1} ...
$ \theta = \tan^{-1}(2 \tan \theta) - \frac{1}{2} \sin^{-1}\left(\frac{6 \tan \theta}{9 + \tan^2 \theta}\right) $
is
(Here, the inverse trigonometric functions $\sin^{-1} x$ and $\tan^{-1} ...
MCQ+3 / -12025
3Inverse Trigonometric Functions
Considering only the principal values of the inverse trigonometric functions, the value of
\(\tan \left(\sin ^{-1}\left(\frac{3}{5}\right)-2 \cos ^{-1}\left(\frac{2}{\sqrt{5}}\right)\right)\)
is
\(\tan \left(\sin ^{-1}\left(\frac{3}{5}\right)-2 \cos ^{-1}\left(\frac{2}{\sqrt{5}}\right)\right)\)
is
MCQ+3 / -12024
4Inverse Trigonometric Functions
For any $y \in \mathbb{R}$, let $\cot ^{-1}(y) \in(0, \pi)$ and $\tan ^{-1}(y) \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$. Then the sum of all the solutions of the equation $\tan ^{-1}\left(\frac{6 y}{9-y^2}\right)+\cot ^{-1}\left(\frac...
MCQ+3 / -12023
5Inverse Trigonometric Functions
Let $\tan ^{-1}(x) \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$, for $x \in \mathbb{R}$. Then the number of real solutions of the equation $\sqrt{1+\cos (2 x)}=\sqrt{2} \tan ^{-1}(\tan x)$ in the set $\left(-\frac{3 \pi}{2},-\frac{\pi}{2}...
INTEGER+4 / -02023
6Inverse Trigonometric Functions
Considering only the principal values of the inverse trigonometric functions, the value of
\(\frac{3}{2} \cos ^{-1} \sqrt{\frac{2}{2+\pi^{2}}}+\frac{1}{4} \sin ^{-1} \frac{2 \sqrt{2} \pi}{2+\pi^{2}}+\tan ^{-1} \frac{\sqrt{2}}{\pi}\)
is
\(\frac{3}{2} \cos ^{-1} \sqrt{\frac{2}{2+\pi^{2}}}+\frac{1}{4} \sin ^{-1} \frac{2 \sqrt{2} \pi}{2+\pi^{2}}+\tan ^{-1} \frac{\sqrt{2}}{\pi}\)
is
INTEGER+3 / -02022