NEW
New Website Launch
Experience the best way to solve previous year questions with mock tests (very detailed analysis), bookmark your favourite questions, practice etc...
VISIT NOW

JEE Advanced

Inverse Trigonometric Functions

Mathematics

Previous Years Questions

Numerical

More
Considering only the principal values of the inverse trigonometric functions, the value of $$ \frac{3}{2} \cos ^{-1} \s...
JEE Advanced 2022 Paper 1 Online
The value of $${\sec ^{ - 1}}\left( \matrix{ {1 \over 4}\sum\limits_{k = 0}^{10} {\sec \left( {{{7\pi } \over {12}} + ...
JEE Advanced 2019 Paper 2 Offline
The number of real solutions of the equation $$\eqalign{ & {\sin ^{ - 1}}\left( {\sum\limits_{i = 1}^\infty {} {x...
JEE Advanced 2018 Paper 1 Offline
Let f : [0, 4$$\pi$$] $$\to$$ [0, $$\pi$$] be defined by f(x) = cos$$-$$1 (cos x). The number of points x $$\in$$ [0, 4$...
JEE Advanced 2014 Paper 1 Offline

MCQ (More than One Correct Answer)

More
For any positive integer n, let Sn : (0, $$\infty$$) $$\to$$ R be defined by $${S_n}(x) = \sum\nolimits_{k = 1}^n {{{\co...
JEE Advanced 2021 Paper 1 Online
For any positive integer n, define $${f_n}:(0,\infty ) \to R$$ as$${f_n} = \sum\limits_{j = 1}^n {{{\tan }^{ - 1}}} \lef...
JEE Advanced 2018 Paper 2 Offline
If $$\alpha $$ $$ = 3{\sin ^{ - 1}}\left( {{6 \over {11}}} \right)$$ and $$\beta = 3{\cos ^{ - 1}}\left( {{4 \over 9}} ...
JEE Advanced 2015 Paper 2 Offline

MCQ (Single Correct Answer)

More
Match List $$I$$ with List $$II$$ and select the correct answer using the code given below the lists: $$\,\,\,\,$$ $$\,\...
JEE Advanced 2014 Paper 2 Offline
Match List $$I$$ with List $$II$$ and select the correct answer using the code given below the lists: List $$I$$ $$P.$$...
JEE Advanced 2013 Paper 2 Offline
The value of $$\cot \left( {\sum\limits_{n = 1}^{23} {{{\cot }^{ - 1}}} \left( {1 + \sum\limits_{k = 1}^n {2k} } \right)...
JEE Advanced 2013 Paper 1 Offline
If $$0 < x < 1$$, then $$\sqrt {1 + {x^2}} {\left[ {{{\left\{ {x\cos \left( {{{\cot }^{ - 1}}x} \right) + \sin \l...
IIT-JEE 2008
The value of $$x$$ for which $$sin\left( {{{\cot }^{ - 1}}\left( {1 + x} \right)} \right) = \cos \left( {{{\tan }^{ - 1}...
IIT-JEE 2004 Screening
If $${\sin ^{ - 1}}\left( {x - {{{x^2}} \over 2} + {{{x^3}} \over 4} - ....} \right)$$ $$$ + {\cos ^{ - 1}}\left( {{x^2...
IIT-JEE 2001 Screening
The number of real solutions of $${\tan ^{ - 1}}\,\,\sqrt {x\left( {x + 1} \right)} + {\sin ^{ - 1}}\,\,\sqrt {{x^2} +...
IIT-JEE 1999
If we consider only the principle values of the inverse trigonometric functions then the value of $$\tan \left( {{{\cos...
IIT-JEE 1994
The principal value of $${\sin ^{ - 1}}\left( {\sin {{2\pi } \over 3}} \right)$$ is
IIT-JEE 1986
The value of $$\tan \left[ {{{\cos }^{ - 1}}\left( {{4 \over 5}} \right) + {{\tan }^{ - 1}}\left( {{2 \over 3}} \right)}...
IIT-JEE 1983

Subjective

More
Let $$(x, y)$$ be such that $${\sin ^{ - 1}}\left( {ax} \right) + {\cos ^{ - 1}}\left( y \right) + {\cos ^{ - 1}}\left( ...
IIT-JEE 2007
Match the following Column $$I$$ (A) $$\sum\limits_{i = 1}^\infty {{{\tan }^{ - 1}}\left( {{1 \over {2{i^2}}}} \right)...
IIT-JEE 2006
Prove that $$\cos \,ta{n^{ - 1}}\sin \,{\cot ^{ - 1}}x = \sqrt {{{{x^2} + 1} \over {{x^2} + 2}}} $$.
IIT-JEE 2002
Find all the solution of $$4$$ $${\cos ^2}x\sin x - 2{\sin ^2}x = 3\sin x$$
IIT-JEE 1983
Find the value of : $$\cos \left( {2{{\cos }^{ - 1}}x + {{\sin }^{ - 1}}x} \right)$$ at $$x = {1 \over 5}$$, where $$0 ...
IIT-JEE 1981

Fill in the Blanks

More
The greater of the two angles $$A = 2{\tan ^{ - 1}}\left( {2\sqrt 2 - 1} \right)$$ and $$B = 3{\sin ^{ - 1}}\left( {1/3...
IIT-JEE 1989
The numerical value of $$\tan \left\{ {2{{\tan }^{ - 1}}\left( {{1 \over 5}} \right) - {\pi \over 4}} \right\}$$ is eq...
IIT-JEE 1984
Let $$a, b, c$$ be positive real numbers Let $$\theta = {\tan ^{ - 1}}\sqrt {{{a\left( {a + b + c} \right)} \over {bc}...
IIT-JEE 1981

Joint Entrance Examination

JEE Main JEE Advanced WB JEE

Graduate Aptitude Test in Engineering

GATE CSE GATE ECE GATE EE GATE ME GATE CE GATE PI GATE IN

Medical

NEET

CBSE

Class 12