Inverse Trigonometric Functions PYQs - Last 5 Years
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MathematicsTrigonometry2022-2026
Practice 20 COMEDK 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.
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Mathematics / Trigonometry
2023-2026
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Last 5 Years Inverse Trigonometric Functions Questions
Showing 20 of 20 filtered questions.
1Inverse Trigonometric Functions
The value of the expression $\cos ^{-1}\left(\cos \frac{7 \pi}{6}\right)+\sin ^{-1}\left(\sin \frac{22 \pi}{3}\right)+\tan ^{-1}\left(\tan \frac{4 \pi}{5}\right)$ is:
MCQ+1 / -02026
2Inverse Trigonometric Functions
Which of the following is the simplest form of the expression $\boldsymbol{\operatorname { t a n }}^{-\mathbf{1}}\left(\frac{\sqrt{\mathbf{1 + x ^ { \mathbf { 2 } }}}-\mathbf{1}}{\boldsymbol{x}}\right)$ where $x \neq 0$
MCQ+1 / -02026
3Inverse Trigonometric Functions
If $X=\tan ^{-1}\left[2 \cos \left(2 \sin ^{-1} \frac{1}{2}\right)\right]+\cos ^{-1}\left[\cos \left(\frac{7 \pi}{6}\right)\right]$ and $Y=\sin ^{-1}\left[\sin \left(\frac{11 \pi}{6}\right)\right]+\tan ^{-1}\left[\tan \left(\frac{4 \pi}{3}\...
MCQ+1 / -02026
4Inverse Trigonometric Functions
\(\text { The domain of the function } f(x)=\sin ^{-1}(\sqrt{x-1})\)
MCQ+1 / -02026
5Inverse Trigonometric Functions
$-\frac{2 \pi}{5}$ is the principal value of
MCQ+1 / -02025
6Inverse Trigonometric Functions
The range of $x$ for which the equation $\sin ^{-1}\left(\frac{2 x}{1+x^2}\right)=2 \tan ^{-1} x$ holds true
MCQ+1 / -02025
7Inverse Trigonometric Functions
$\sin ^{-1}(x-1)+\cos ^{-1}(x-3)+\tan ^{-1}\left(\frac{x}{2-x^2}\right)=\cos ^{-1} k+\pi$, then the value of ' $k$ ' is
MCQ+1 / -02025
8Inverse Trigonometric Functions
The value of $\tan \left\{\cos ^{-1}\left(\frac{\sqrt{2}}{2}\right)-\frac{\pi}{2}\right\}$ is
MCQ+1 / -02025
9Inverse Trigonometric Functions
The value of $\tan ^{-1}\left(\tan \frac{7 \pi}{6}\right)$ is
MCQ+1 / -02025
10Inverse Trigonometric Functions
Domain of the function $f(x)=\sqrt{\sin ^{-1}(2 x)+\frac{\pi}{6}}$ for real valued of $x$ is
MCQ+1 / -02025
11Inverse Trigonometric Functions
\(\text { The value of } \sin ^{-1}\left[\cot \left(\frac{1}{2} \tan ^{-1} \frac{1}{\sqrt{3}}+\cos ^{-1} \frac{\sqrt{12}}{4}+\sin ^{-1} \frac{1}{\sqrt{2}}\right)\right]\) is
MCQ+1 / -02024
12Inverse Trigonometric Functions
Evaluate : \(\cos ^{-1}\left[\cos \left(-680^{\circ}\right)\right]+\sin ^{-1}\left[\sin \left(-600^{\circ}\right)\right]-\cos ^{-1}\left(\sin 270^{\circ}\right)\)
MCQ+1 / -02024
13Inverse Trigonometric Functions
\(\text { The function } f(x)=\tan ^{-1}(\sin x+\cos x) \text { is an increasing function in }\)
MCQ+1 / -02024
14Inverse Trigonometric Functions
\(\text { Evaluate: } \cos ^{-1}\left(\cos \frac{35 \pi}{18}\right)-\sin ^{-1}\left(\sin \frac{35 \pi}{18}\right)\)
MCQ+1 / -02024
15Inverse Trigonometric Functions
\(\text { Evaluate: } \cot ^{-1}\left(-\frac{3}{\sqrt{3}}\right)-\sec ^{-1}\left(-\frac{2}{\sqrt{2}}\right)-\operatorname{cosec}^{-1}(-1)-\tan ^{-1}(1)\)
MCQ+1 / -02024
16Inverse Trigonometric Functions
\(\text { If } y=\sin ^{-1}(\sqrt{\sin x}) \text {, then } \frac{d y}{d x} \text { equals }\)
MCQ+1 / -02024
17Inverse Trigonometric Functions
Evaluate :
\(\operatorname{cosec}^{-1}\left(-\frac{2 \sqrt{3}}{3}\right)+\tan ^{-1}\left(-\frac{\sqrt{3}}{3}\right)+\sec ^{-1} 2+\cos ^{-1}\left(-\frac{1}{2}\right)-\sin ^{-1}\left(\frac{\sqrt{2}}{2}\right)\)
\(\operatorname{cosec}^{-1}\left(-\frac{2 \sqrt{3}}{3}\right)+\tan ^{-1}\left(-\frac{\sqrt{3}}{3}\right)+\sec ^{-1} 2+\cos ^{-1}\left(-\frac{1}{2}\right)-\sin ^{-1}\left(\frac{\sqrt{2}}{2}\right)\)
MCQ+1 / -02024
18Inverse Trigonometric Functions
\(\text { If } \alpha=\tan ^{-1}\left(\tan \frac{5 \pi}{4}\right) \text { and } \beta=\tan ^{-1}\left(-\tan \frac{2 \pi}{3}\right) \text { then }\)
MCQ+1 / -02024
19Inverse Trigonometric Functions
\(\text { Let } f(x)=\cos ^{-1}(3 x-1) \text {, then domain of } f(x) \text { is equal to }\)
MCQ+1 / -02023
20Inverse Trigonometric Functions
\(\text { The value of } \sin ^{-1}\left[\cos \left(39 \frac{\pi}{5}\right)\right] \text { is }\)
MCQ+1 / -02023