Inverse Trigonometric Functions PYQs - Last 10 Years
WB JEE / Mathematics / Trigonometry / 10 recent questions
MathematicsTrigonometry2017-2026
Practice 10 WB JEE 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.
10
PYQs on Page
Mathematics / Trigonometry
2017-2026
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7
Last 5 Years
2022-2026
10
Last 10 Years
2017-2026
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2017
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2026Latest year
20175 max PYQs/year2026
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10PYQs
MCQ90%
MCQM10%
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#1 Unknown10
7 in last 5 years10 in last 10 years
Last 10 Years Inverse Trigonometric Functions Questions
Showing 10 of 10 filtered questions.
1Inverse Trigonometric Functions
The true set of values of ' $K$ ' for which $\sin ^{-1}\left(\frac{1}{1+\sin ^2 x}\right)=\frac{K \pi}{6}$ may have a solution is
MCQ+1 / -0.252026
2Inverse Trigonometric Functions
If $f(x)=x\left(1331 x^2-3630 x+3300\right)$, then for $a=\cos ^2\left(\tan ^{-1}\left(\sin \left(\cot ^{-1} 3\right)\right)\right)$
MCQM+2 / -02026
3Inverse Trigonometric Functions
If for two real numbers $\mathrm{a}, \mathrm{b}$ with $|\mathrm{a}| \leq 1$ and $|\mathrm{b}| \leq 1$,
$\frac{1}{3}+\frac{\sin ^{-1} a+\sin ^{-1} b}{4}+\frac{\left(\sin ^{-1} a+\sin ^{-1} b\right)^2}{16}+\frac{\left(\sin ^{-1} a+\sin ^{-1} ...
$\frac{1}{3}+\frac{\sin ^{-1} a+\sin ^{-1} b}{4}+\frac{\left(\sin ^{-1} a+\sin ^{-1} b\right)^2}{16}+\frac{\left(\sin ^{-1} a+\sin ^{-1} ...
MCQ+1 / -0.252026
4Inverse Trigonometric Functions
Let $g(x)=a x+b$, where $a<0$ and $g$ is defined from $[1,3]$ onto $[0,2]$. Then the value of $\cot \left(\cos ^{-1}(|\sin x|+|\cos x|)+\right. \left.\sin ^{-1}(-|\cos x|-|\sin x|)\right)$ is equal to
MCQ+2 / -0.52026
5Inverse Trigonometric Functions
If $\sum\limits_{r=1}^{\infty} \tan ^{-1}\left(\frac{1}{2 r^2}\right)=a$, then $\tan a$ is equal to
MCQ+1 / -0.252026
6Inverse Trigonometric Functions
If $\cos ^{-1} \alpha+\cos ^{-1} \beta+\cos ^{-1} \gamma=3 \pi$, then $\alpha(\beta+\gamma)+\beta(\gamma+\alpha)+\gamma(\alpha+\beta)$ is equal to
MCQ+1 / -0.252025
7Inverse Trigonometric Functions
The number of solutions of $\sin ^{-1} x+\sin ^{-1}(1-x)=\cos ^{-1} x$ is
MCQ+2 / -0.52025
8Inverse Trigonometric Functions
For \(y = {\sin ^{ - 1}}\left\{ {{{5x + 12\sqrt {1 - {x^2}} } \over {13}}} \right\};\left| x \right| \le 1\), if \(a(1 - {x^2}){y_2} + bx{y_1} = 0\) then (a, b) =
MCQ+1 / -0.252021
9Inverse Trigonometric Functions
If \(0 \le A \le {\pi \over 4}\), then \({\tan ^{ - 1}}\left( {{1 \over 2}\tan 2A} \right) + {\tan ^{ - 1}}(\cot A) + {\tan ^{ - 1}}({\cot ^3}A)\)
MCQ+1 / -0.252018
10Inverse Trigonometric Functions
The possible values of x, which satisfy the trigonometric equation \({\tan ^{ - 1}}\left( {{{x - 1} \over {x - 2}}} \right) + {\tan ^{ - 1}}\left( {{{x + 1} \over {x + 2}}} \right) = {\pi \over 4}\) are
MCQ+1 / -0.252017
