My Cart
Your Cart 0

    Your cart is empty.

  • Total (Amount) ₹0.00
Previous year question hub

Inverse Trigonometric Functions - Trigonometry - Mathematics Previous Year Questions

Practice Inverse Trigonometric Functions - Trigonometry - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

12Papers
10Years
17Questions
1Topics

Inverse Trigonometric Functions question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Inverse Trigonometric Functions. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 22 100%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 21 95.5%
Subjective 1 4.5%

Subject weightage

Top subjects by unique question coverage.

Mathematics
17 Qs

Most asked topics

Top topics across the included previous year papers.

Trigonometry
17 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Inverse Trigonometric Functions
17 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

WB JEE 2026
5 Qs
WB JEE 2026
5 Qs
WB JEE 2025
2 Qs
VITEEE 2025
1 Qs
WB JEE 2021
1 Qs
WB JEE 2018
1 Qs
WB JEE 2017
1 Qs
WB JEE 2016
1 Qs
WB JEE 2011
2 Qs
WB JEE 2010
1 Qs
WB JEE 2009
1 Qs
WB JEE 2008
1 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
WB JEE 202620265View paper
WB JEE 202620265View paper
VITEEE 202520251View paper
WB JEE 202520252View paper
WB JEE 202120211View paper
WB JEE 201820181View paper
WB JEE 201720171View paper
WB JEE 201620161View paper
WB JEE 201120112View paper
WB JEE 201020101View paper
WB JEE 200920091View paper
WB JEE 200820081View paper

All Inverse Trigonometric Functions previous year questions

Practice every matching question in batches of 20, with every available option.

1
2016 · Mathematics · Trigonometry · Inverse Trigonometric Functions
WB JEE 2016
If \(f(x) = {\tan ^{ - 1}}\left[ {{{\log \left( {{e \over {{x^2}}}} \right)} \over {\log (e{x^2})}}} \right] + {\tan ^{ - 1}}\left[ {{{3 + 2\log x} \over {1 - 6\log x}}} \right]\), then the value of f''(x) is equal to
A
x2
B
x
C
1
D
0
Open complete paper
2
2017 · Mathematics · Trigonometry · Inverse Trigonometric Functions
WB JEE 2017
The possible values of x, which satisfy the trigonometric equation

\({\tan ^{ - 1}}\left( {{{x - 1} \over {x - 2}}} \right) + {\tan ^{ - 1}}\left( {{{x + 1} \over {x + 2}}} \right) = {\pi \over 4}\) are
A
\(\pm {1 \over {\sqrt 2 }}\)
B
\(\pm\) \({\sqrt 2 }\)
C
\(\pm\) \({1 \over 2}\)
D
\(\pm\) 2
Open complete paper
3
2018 · Mathematics · Trigonometry · Inverse Trigonometric Functions
WB JEE 2018
If \(0 \le A \le {\pi \over 4}\), then \({\tan ^{ - 1}}\left( {{1 \over 2}\tan 2A} \right) + {\tan ^{ - 1}}(\cot A) + {\tan ^{ - 1}}({\cot ^3}A)\)
A
\({\pi \over 4}\)
B
\(\pi\)
C
0
D
\({\pi \over 2}\)
Open complete paper
4
2021 · Mathematics · Trigonometry · Inverse Trigonometric Functions
WB JEE 2021
For \(y = {\sin ^{ - 1}}\left\{ {{{5x + 12\sqrt {1 - {x^2}} } \over {13}}} \right\};\left| x \right| \le 1\), if \(a(1 - {x^2}){y_2} + bx{y_1} = 0\) then (a, b) =
A
(2, 1)
B
(1, \(-\)1)
C
(\(-\)1, 1)
D
(1, 2)
Open complete paper
5
2025 · Mathematics · Trigonometry · Inverse Trigonometric Functions
WB JEE 2025

If $\cos ^{-1} \alpha+\cos ^{-1} \beta+\cos ^{-1} \gamma=3 \pi$, then $\alpha(\beta+\gamma)+\beta(\gamma+\alpha)+\gamma(\alpha+\beta)$ is equal to

A
0
B
1
C
6
D
12
Open complete paper
6
2025 · Mathematics · Trigonometry · Inverse Trigonometric Functions
WB JEE 2025

The number of solutions of $\sin ^{-1} x+\sin ^{-1}(1-x)=\cos ^{-1} x$ is

A
0
B
1
C
2
D
4
Open complete paper
7
2025 · Mathematics · Trigonometry · Inverse Trigonometric Functions
VITEEE 2025

$S=\cot ^{-1}\left(\frac{1+2 \times 6}{4}\right)+\cot ^{-1}\left(\frac{1+3 \times 8}{10}\right)+\cot ^{-1} \left(\frac{1+4 \times 10}{18}\right) \ldots \ldots \ldots$ upto $\infty$ terms is equal to

A

$\tan ^{-1} 2$

B

$\cot ^{-1} 2$

C

$\frac{\pi}{2}-\cot ^{-1} 2$

D

$-\tan ^{-1} 2$

Open complete paper
8
2008 · Mathematics · Trigonometry · Inverse Trigonometric Functions
WB JEE 2008

The value of \(\tan \alpha + 2\tan (2\alpha ) + 4\tan (4\alpha ) + ... + {2^{n - 1}}\tan ({2^{n - 1}}\alpha ) + {2^n}\cot ({2^n}\alpha )\) is

A
\(\cot ({2^n}\alpha )\)
B
\({2^n}\tan ({2^n}\alpha )\)
C
0
D
\(\cot \alpha\)
Open complete paper
9
2009 · Mathematics · Trigonometry · Inverse Trigonometric Functions
WB JEE 2009

\(\tan \left[ {{\pi \over 4} + {1 \over 2}{{\cos }^{ - 1}}\left( {{a \over b}} \right)} \right] + \tan \left[ {{\pi \over 4} - {1 \over 2}{{\cos }^{ - 1}}\left( {{a \over b}} \right)} \right]\) is equal to

A
\({{2a} \over b}\)
B
\({{2b} \over a}\)
C
\({a \over b}\)
D
\({b \over a}\)
Open complete paper
10
2010 · Mathematics · Trigonometry · Inverse Trigonometric Functions
WB JEE 2010

Value of \({\tan ^{ - 1}}\left( {{{\sin 2 - 1} \over {\cos 2}}} \right)\) is

A
\({\pi \over 2} - 1\)
B
\(1 - {\pi \over 4}\)
C
\(2 - {\pi \over 2}\)
D
\({\pi \over 4} - 1\)
Open complete paper
11
2011 · Mathematics · Trigonometry · Inverse Trigonometric Functions
WB JEE 2011

If \({r^2} = {x^2} + {y^2} + {z^2}\), then prove that \({\tan ^{ - 1}}\left( {{{yz} \over {rx}}} \right) + {\tan ^{ - 1}}\left( {{{zx} \over {ry}}} \right) + {\tan ^{ - 1}}\left( {{{xy} \over {rz}}} \right) = {\pi \over 2}\)

Write your response
Open complete paper
12
2011 · Mathematics · Trigonometry · Inverse Trigonometric Functions
WB JEE 2011

The solution set of the inequation \({\cos ^{ - 1}}x < {\sin ^{ - 1}}x\) is

A
[\(-\)1, 1]
B
\(\left[ {{1 \over {\sqrt 2 }},1} \right]\)
C
[0, 1]
D
\(\left( {{1 \over {\sqrt 2 }},1} \right]\)
Open complete paper
13
2026 · Mathematics · Trigonometry · Inverse Trigonometric Functions
WB JEE 2026

If for two real numbers $\mathrm{a}, \mathrm{b}$ with $|\mathrm{a}| \leq 1$ and $|\mathrm{b}| \leq 1$,

$\frac{1}{3}+\frac{\sin ^{-1} a+\sin ^{-1} b}{4}+\frac{\left(\sin ^{-1} a+\sin ^{-1} b\right)^2}{16}+\frac{\left(\sin ^{-1} a+\sin ^{-1} b\right)^3}{64}+\cdots=\frac{2(8-3 \pi)}{3(16+3 \pi)}, \quad$ then the value of $\sin ^{-1}\left(a \sqrt{1-b^2}+b \sqrt{1-a^2}\right)$ is

A

$\frac{2(32+15 \pi)}{3 \pi-8}$

B

$\frac{-\pi}{4}$

C

$-\frac{3 \pi}{4}$

D

$\frac{1}{3}+\frac{\pi}{4}$

Open complete paper
14
2026 · Mathematics · Trigonometry · Inverse Trigonometric Functions
WB JEE 2026

The true set of values of ' $K$ ' for which $\sin ^{-1}\left(\frac{1}{1+\sin ^2 x}\right)=\frac{K \pi}{6}$ may have a solution is

A

$\left[\frac{1}{6}, \frac{1}{2}\right]$

B

$\left[\frac{1}{4}, \frac{1}{2}\right]$

C

$[2,4]$

D

$[1,3]$

Open complete paper
15
2026 · Mathematics · Trigonometry · Inverse Trigonometric Functions
WB JEE 2026

If $\sum\limits_{r=1}^{\infty} \tan ^{-1}\left(\frac{1}{2 r^2}\right)=a$, then $\tan a$ is equal to

A

1

B

0

C

$\sqrt{3}$

D

$\frac{\pi}{4}$

Open complete paper
16
2026 · Mathematics · Trigonometry · Inverse Trigonometric Functions
WB JEE 2026

If $f(x)=x\left(1331 x^2-3630 x+3300\right)$, then for $a=\cos ^2\left(\tan ^{-1}\left(\sin \left(\cot ^{-1} 3\right)\right)\right)$

A

$f(a+1)=2331$

B

$f^{\prime}(a)=11$

C

$\mathop {\lim }\limits_{x \to a}f(x)=1000$

D

$\int_0^a(f(x)-1000) d x=\frac{2500}{11}$

Open complete paper
17
2026 · Mathematics · Trigonometry · Inverse Trigonometric Functions
WB JEE 2026

Let $g(x)=a x+b$, where $a<0$ and $g$ is defined from $[1,3]$ onto $[0,2]$. Then the value of $\cot \left(\cos ^{-1}(|\sin x|+|\cos x|)+\right. \left.\sin ^{-1}(-|\cos x|-|\sin x|)\right)$ is equal to

A

$\mathrm{g}(2)+\mathrm{g}(3)$

B

$\mathrm{g}(2)$

C

$\mathrm{g}(3)$

D

$g(1)+g(2)$

Open complete paper