Inverse Trigonometric Functions PYQs - Last 10 Years
KCET / Mathematics / Trigonometry / 22 recent questions
MathematicsTrigonometry2017-2026
Practice 22 KCET 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.
22
PYQs on Page
Mathematics / Trigonometry
2017-2026
Year Range
Based on indexed question metadata
10
Last 5 Years
2022-2026
22
Last 10 Years
2017-2026
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20213 max PYQs/year2026
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MCQ100%
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#1 Unknown22
10 in last 5 years22 in last 10 years
Last 10 Years Inverse Trigonometric Functions Questions
Showing 22 of 22 filtered questions.
1Inverse Trigonometric Functions
If $\sin^{-1} x + \sin^{-1} y = \dfrac{\pi}{2}$, then $x^2$ is equal to
MCQ+1 / -02026
2Inverse Trigonometric Functions
$\tan^{-1}\left(\dfrac{1}{1 + 1 \cdot 2}\right) + \tan^{-1}\left(\dfrac{1}{1 + 2 \cdot 3}\right) + \ldots + \tan^{-1}\left(\dfrac{1}{1 + n(n+1)}\right) = $
MCQ+1 / -02026
3Inverse Trigonometric Functions
$2 \cos ^{-1} x=\sin ^{-1}\left(2 x \sqrt{1-x^2}\right)$ is valid for all values of ' $x$ ' satisfying
MCQ+1 / -02025
4Inverse Trigonometric Functions
\(\sec ^2\left(\tan ^{-1} 2\right)+\operatorname{cosec}^2\left(\cot ^{-1} 3\right)=\)
MCQ+1 / -02025
5Inverse Trigonometric Functions
Let $f: R \rightarrow R$ be given $f(x)=\tan x$. Then, $f^{-1}(1)$ is
MCQ+1 / -02024
6Inverse Trigonometric Functions
If $2 \sin ^{-1} x-3 \cos ^{-1} x=4, x \in[-1,1]$, then $2 \sin ^{-1} x+3 \cos ^{-1} x$ is equal to
MCQ+1 / -02024
7Inverse Trigonometric Functions
If $\cos ^{-1} x+\cos ^{-1} y+\cos ^{-1} z=3 \pi$, then $x(y+z)+y(z+x)+z(x+y)$ equals to
MCQ+1 / -02024
8Inverse Trigonometric Functions
The value of \(\cot ^{-1}\left[\frac{\sqrt{1-\sin x}+\sqrt{1+\sin x}}{\sqrt{1-\sin x}-\sqrt{1+\sin x}}\right]\), where \(x \in\left(0, \frac{\pi}{4}\right)\) is
MCQ+1 / -02023
9Inverse Trigonometric Functions
If \(\sin ^{-1}\left(\frac{2 a}{1+a^2}\right)+\cos ^{-1}\left(\frac{1-a^2}{1+a^2}\right)=\tan ^{-1}\left(\frac{2 x}{1-x^2}\right)\) where \(a, x \in(0,1)\), then the value of \(x\) is
MCQ+1 / -02023
10Inverse Trigonometric Functions
Domain \(\cos ^{-1}[x]\) is, where [ ] denotes a greatest integer function
MCQ+1 / -02022
11Inverse Trigonometric Functions
\(\cos \left[\cot ^{-1}(-\sqrt{3})+\frac{\pi}{6}\right]\) is equal to
MCQ+1 / -02021
12Inverse Trigonometric Functions
\(\tan ^{-1}\left[\frac{1}{\sqrt{3}} \sin \frac{5 \pi}{2}\right] \sin ^{-1}\left[\cos \left(\sin ^{-} \frac{\sqrt{3}}{2}\right)\right]\) is equal to
MCQ+1 / -02021
13Inverse Trigonometric Functions
If \(f(x)=\sin ^{-1}\left(\frac{2 x}{1+x^2}\right)\), then \(f^{\prime}(\sqrt{3})\) is
MCQ+1 / -02020
14Inverse Trigonometric Functions
The value of \(\cos \left(\sin ^{-1} \frac{\pi}{3}+\cos ^{-1} \frac{\pi}{3}\right)\) is
Does not exist
Does not exist
MCQ+1 / -02020
15Inverse Trigonometric Functions
The domain of the function defined by \(f(x)=\cos ^{-1} \sqrt{x-1}\) is
MCQ+1 / -02020
16Inverse Trigonometric Functions
If \(a+\frac{\pi}{2}<2 \tan ^{-1} x+3 \cot ^{-1} x< b\) then '\(a\)' and '\(b\)' are respectively.
MCQ+1 / -02019
17Inverse Trigonometric Functions
\(\cos \left[2 \sin ^{-1} \frac{3}{4}+\cos ^{-1} \frac{3}{4}\right]=\)
MCQ+1 / -02019
18Inverse Trigonometric Functions
If \(f(x)=\sin ^{-1}\left(\frac{2^{x+1}}{1+4^x}\right)\) then \(f^{\prime}(0)=\)
MCQ+1 / -02019
19Inverse Trigonometric Functions
The value of the expression $\tan \left(\frac{1}{2} \cos ^{-1} \frac{2}{\sqrt{5}}\right)$ is
MCQ+1 / -02018
20Inverse Trigonometric Functions
If $\sin ^{-1} x+\cos ^{-1} y=\frac{2 \pi}{5}$, then $\cos ^{-1} x+\sin ^{-1} y$ is
MCQ+1 / -02018
21Inverse Trigonometric Functions
The range of $\sec ^{-1} x$ is
MCQ+1 / -02017
22Inverse Trigonometric Functions
If $\tan ^{-1} x+\tan ^{-1} y=\frac{4 \pi}{5}$, then $\cot ^{-1} x+\cot ^{-1} y$ is equal to
MCQ+1 / -02017