Inverse Trigonometric Functions PYQs - Last 10 Years
MHT CET / Mathematics / Trigonometry / 163 recent questions
MathematicsTrigonometry2017-2026
Practice 163 MHT CET 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.
163
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Mathematics / Trigonometry
2019-2026
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Based on indexed question metadata
140
Last 5 Years
2022-2026
163
Last 10 Years
2017-2026
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140 in last 5 years163 in last 10 years
Last 10 Years Inverse Trigonometric Functions Questions
Showing 13 of 163 filtered questions.
1Inverse Trigonometric Functions
If \(\sin ^{-1}\left(\frac{3}{5}\right)+\cos ^{-1}\left(\frac{12}{13}\right)=\sin ^{-1} \alpha\), then \(\alpha=\)
MCQ+2 / -02021
2Inverse Trigonometric Functions
If \(y=\tan ^{-1}\left[\frac{1}{1+x+x^2}\right]+\tan ^{-1}\left[\frac{1}{x^2+3 x+3}\right], x>0\), then \(\frac{d y}{d x}=\)
MCQ+2 / -02021
3Inverse Trigonometric Functions
If \(4 \sin ^{-1} x+6 \cos ^{-1} x=3 \pi\), where \(-1 \leq x \leq 1\), then \(x=\)
MCQ+2 / -02021
4Inverse Trigonometric Functions
\(\cos ^{-1}\left(\frac{4}{5}\right)+\cos ^{-1}\left(\frac{12}{13}\right)=\)
MCQ+2 / -02021
5Inverse Trigonometric Functions
\(\sin ^{-1}\left[\sin \left(-600^{\circ}\right)\right]+\cot ^{-1}(-\sqrt{3})=\)
MCQ+2 / -02021
6Inverse Trigonometric Functions
The value of \(\sin ^{-1}\left(-\frac{1}{2}\right)+\cos ^{-1}\left(-\frac{\sqrt{3}}{2}\right)\) is
MCQ+2 / -02020
7Inverse Trigonometric Functions
\(\left[\sin \left(\tan ^{-1} \frac{3}{4}\right)\right]^2+\left[\sin \left(\tan ^{-1} \frac{4}{3}\right)\right]^2=\)
MCQ+2 / -02020
8Inverse Trigonometric Functions
The value of \(\tan ^{-1}\left(\frac{1}{3}\right)+\tan ^{-1}\left(\frac{1}{5}\right)+\tan ^{-1}\left(\frac{1}{7}\right)+\tan ^{-1}\left(\frac{1}{8}\right)\) is
MCQ+2 / -02020
9Inverse Trigonometric Functions
$\sin \left[3 \sin ^{-1}(0.4)\right]=\ldots \ldots$
MCQ+2 / -02019
10Inverse Trigonometric Functions
Derivative of $\sin ^{-1}\left(\frac{t}{\sqrt{1+t^2}}\right)$ with respect to $\cos ^{-1}\left(\frac{1}{\sqrt{1+t^2}}\right)$ is
MCQ+2 / -02019
11Inverse Trigonometric Functions
If $f(x)=\cos ^{-1}\left[\frac{1-(\log x)^2}{1+(\log x)^2}\right]$, then $f^{\prime}(e)=\ldots$
MCQ+2 / -02019
12Inverse Trigonometric Functions
The value of $\tan ^{-1} \frac{1}{3}+\tan ^{-1} \frac{1}{5}+\tan ^{-1} \frac{1}{7}+\tan ^{-1} \frac{1}{8}$ is ...........
MCQ+2 / -02019
13Inverse Trigonometric Functions
If $4 \sin ^{-1} x+6 \cos ^{-1} x=3 \pi$ then $x=$ ............
MCQ+2 / -02019