Inverse Trigonometric Functions PYQs - Last 5 Years
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MathematicsTrigonometry2022-2026
Practice 10 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.
10
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Mathematics / Trigonometry
2022-2026
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10
Last 5 Years
2022-2026
10
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2017-2026
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Last 5 Years Inverse Trigonometric Functions Questions
Showing 10 of 10 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