Inverse Trigonometric Functions PYQs - Last 10 Years
VITEEE / Mathematics / Trigonometry / 11 recent questions
MathematicsTrigonometry2016-2025
Practice 11 VITEEE 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
2021-2025
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2021-2025
11
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2016-2025
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Last 10 Years Inverse Trigonometric Functions Questions
Showing 11 of 11 filtered questions.
1Inverse Trigonometric Functions
$S=\cot ^{-1}\left(\frac{1+2 \times 6}{4}\right)+\cot ^{-1}\left(\frac{1+3 \times 8}{10}\right)+\cot ^{-1} \left(\frac{1+4 \times 10}{18}\right) \ldots \ldots \ldots$ upto $\infty$ terms is equal to
MCQ+4 / -12025
2Inverse Trigonometric Functions
The value of \(\sin ^{-1}\left\{\cot \left(\sin ^{-1} \sqrt{\frac{2-\sqrt{3}}{4}}+\cos ^{-1} \frac{\sqrt{12}}{4}+\sec ^{-1} \sqrt{2}\right)\right\}\) is
MCQ+4 / -12024
3Inverse Trigonometric Functions
The sum of the infinite terms of the series $\cot ^{-1}\left(1^2+\frac{3}{4}\right)+\cot ^{-1}\left(2^2+\frac{3}{4}\right)$ $+\cot ^{-1}\left(3^2+\frac{3}{4}\right)+\ldots$ is equal to
MCQ+4 / -12024
4Inverse Trigonometric Functions
The equation \(3 \cos ^{-1} x-\pi x-\pi / 2=0\) has
MCQ+4 / -12023
5Inverse Trigonometric Functions
\(\tan ^{-1}\left(\frac{1}{5}\right)+\tan ^{-1}\left(\frac{1}{7}\right)+\tan ^{-1}\left(\frac{1}{3}\right)+\tan ^{-1}\left(\frac{1}{8}\right)\)
equals to
equals to
MCQ+4 / -12023
6Inverse Trigonometric Functions
If \(\cot ^{-1}(y)=\cot ^{-1}(x)+\cot ^{-1}\left(\frac{x^2-1}{2 x}\right)\), then the value of \(y\) is
MCQ+4 / -12023
7Inverse Trigonometric Functions
If \(\left(\sin ^{-1} x\right)^2-\left(\cos ^{-1} x\right)^2=a \pi^2\), then the range of \(a\) is
MCQ+4 / -12023
8Inverse Trigonometric Functions
If \(\cos ^{-1} x-\cos ^{-1} \frac{y}{2}=\alpha\) where \(-1 \leq x \leq 1, -2 \leq y \leq 2, x \leq \frac{y}{2}\), then for all \(x, y, 4 x^2-4 x y \cos \alpha+y^2\) is equal to
MCQ+4 / -12022
9Inverse Trigonometric Functions
If \(\tan ^{-1} y=\tan ^{-1} x+\tan ^{-1}\left(\frac{2 x}{1-x^2}\right)\), where \(|x|< \frac{1}{\sqrt{3}}\) then value of \(y\) is
MCQ+4 / -12022
10Inverse Trigonometric Functions
Find the value of \(\cos ^{-1}\left(\frac{4}{5}\right)+\tan ^{-1}\left(\frac{3}{5}\right)\).
MCQ+4 / -12021
11Inverse Trigonometric Functions
Using the principal values, the value of \(\sin ^{-1}\left\{\sin \frac{5 \pi}{6}\right\}+\tan ^{-1}\left\{\tan \frac{\pi}{6}\right\}\) is equal to
MCQ+4 / -12021