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.

92Papers
16Years
98Questions
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.

Medium 86 87.8%
Easy 7 7.1%
Hard 5 5.1%

Question type distribution

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

Multiple Choices 82 83.7%
Numerical Answer Type (NAT) 15 15.3%
Subjective 1 1%

Subject weightage

Top subjects by unique question coverage.

Mathematics
98 Qs

Most asked topics

Top topics across the included previous year papers.

Trigonometry
98 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Inverse Trigonometric Functions
98 Qs

Paper coverage

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

JEE Main 2026 (Online) 5th April Morning Shift
1 Qs
JEE Main 2026 (Online) 6th April Evening Shift
1 Qs
JEE Main 2026 (Online) 6th April Morning Shift
1 Qs
JEE Main 2026 (Online) 8th April Evening Shift
1 Qs
JEE MAIN 2026 ONLINE 21ST JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 21ST JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 22ND JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 24TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 28TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 28TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 22ND JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 23RD JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 24TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 24TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 28TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 28TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 29TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 2ND APRIL EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 4TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 4TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 8TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 27TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 29TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 31ST JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 31ST JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 4TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 4TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 6TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 9TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 10TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 13TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 13TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 15TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 1ST FEBRUARY EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 1ST FEBRUARY MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 24TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 25TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 30TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 31ST JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 31ST JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 24TH JUNE MORNING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 28TH JULY MORNING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 29TH JUNE MORNING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 30TH JUNE MORNING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 24TH JUNE EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 25TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 25TH JUNE EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 26TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 26TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 26TH JUNE EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 27TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 27TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 27TH JUNE EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 27TH JUNE MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 28TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 29TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 17TH MARCH MORNING SHIFT
2 Qs
JEE MAIN 2021 ONLINE 26TH AUGUST EVENING SHIFT
2 Qs
JEE Main 2021 (Online) 24th February Evening Shift
1 Qs
JEE Main 2021 (Online) 25th February Evening Shift
1 Qs
JEE Main 2021 (Online) 26th February Evening Shift
1 Qs
JEE Main 2021 (Online) 26th February Morning Shift
1 Qs
JEE MAIN 2021 ONLINE 16TH MARCH EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 17TH MARCH EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 1ST SEPTEMBER EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 20TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 20TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 22TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 27TH AUGUST EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 27TH AUGUST MORNING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 31ST AUGUST EVENING SHIFT
1 Qs
JEE MAIN 2020 ONLINE 2ND SEPTEMBER MORNING SLOT
1 Qs
JEE MAIN 2020 ONLINE 3RD SEPTEMBER MORNING SLOT
1 Qs
JEE MAIN 2020 ONLINE 5TH SEPTEMBER MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 10TH APRIL EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 10TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 11TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 12TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 12TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 8TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 9TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 9TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2017 ONLINE 8TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2017 ONLINE 9TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2015 OFFLINE
1 Qs
JEE MAIN 2013 OFFLINE
1 Qs
AIEEE 2008
1 Qs
AIEEE 2007
1 Qs
IIT-JEE 2007
1 Qs
AIEEE 2005
1 Qs
AIEEE 2003
1 Qs
AIEEE 2002
1 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
JEE Main 2026 (Online) 5th April Morning Shift20261View paper
JEE Main 2026 (Online) 6th April Evening Shift20261View paper
JEE Main 2026 (Online) 6th April Morning Shift20261View paper
JEE Main 2026 (Online) 8th April Evening Shift20261View paper
JEE MAIN 2026 ONLINE 21ST JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 21ST JANUARY MORNING SHIFT20261View paper
JEE MAIN 2026 ONLINE 22ND JANUARY MORNING SHIFT20261View paper
JEE MAIN 2026 ONLINE 24TH JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 28TH JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 28TH JANUARY MORNING SHIFT20261View paper
JEE MAIN 2025 ONLINE 22ND JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 23RD JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 24TH JANUARY EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 24TH JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 28TH JANUARY EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 28TH JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 29TH JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 2ND APRIL EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 4TH APRIL EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 4TH APRIL MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 8TH APRIL EVENING SHIFT20251View paper
JEE MAIN 2024 ONLINE 27TH JANUARY EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 29TH JANUARY EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 31ST JANUARY EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 31ST JANUARY MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 4TH APRIL EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 4TH APRIL MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 6TH APRIL MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 9TH APRIL EVENING SHIFT20241View paper
JEE MAIN 2023 ONLINE 10TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 13TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 13TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 15TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 1ST FEBRUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 1ST FEBRUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 24TH JANUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 25TH JANUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 30TH JANUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 31ST JANUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 31ST JANUARY MORNING SHIFT20231View paper
JEE MAIN 2022 ONLINE 24TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 24TH JUNE MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 25TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 25TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 26TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 26TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 26TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 28TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 28TH JULY MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 29TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 29TH JUNE MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 30TH JUNE MORNING SHIFT20222View paper
JEE Main 2021 (Online) 24th February Evening Shift20211View paper
JEE Main 2021 (Online) 25th February Evening Shift20211View paper
JEE Main 2021 (Online) 26th February Evening Shift20211View paper
JEE Main 2021 (Online) 26th February Morning Shift20211View paper
JEE MAIN 2021 ONLINE 16TH MARCH EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 17TH MARCH EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 17TH MARCH MORNING SHIFT20212View paper
JEE MAIN 2021 ONLINE 1ST SEPTEMBER EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 20TH JULY EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 20TH JULY MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 22TH JULY EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 26TH AUGUST EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 27TH AUGUST EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 27TH AUGUST MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 31ST AUGUST EVENING SHIFT20211View paper
JEE MAIN 2020 ONLINE 2ND SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 3RD SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 5TH SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2019 ONLINE 10TH APRIL EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 10TH JANUARY EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 11TH JANUARY EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 12TH APRIL MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 12TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 8TH APRIL MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 9TH JANUARY EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 9TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2017 ONLINE 8TH APRIL MORNING SLOT20171View paper
JEE MAIN 2017 ONLINE 9TH APRIL MORNING SLOT20171View paper
JEE MAIN 2015 OFFLINE20151View paper
JEE MAIN 2013 OFFLINE20131View paper
AIEEE 200820081View paper
AIEEE 200720071View paper
IIT-JEE 200720071View paper
AIEEE 200520051View paper
AIEEE 200320031View paper
AIEEE 200220021View paper

All Inverse Trigonometric Functions previous year questions

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

1
2002 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AIEEE 2002
\({\cot ^{ - 1}}\left( {\sqrt {\cos \alpha } } \right) - {\tan ^{ - 1}}\left( {\sqrt {\cos \alpha } } \right) = x,\) then sin x is equal to :
A
\({\tan ^2}\left( {{\alpha \over 2}} \right)\)
B
\({\cot ^2}\left( {{\alpha \over 2}} \right)\)
C
\(\tan \alpha\)
D
\(cot\left( {{\alpha \over 2}} \right)\)
Open complete paper
2
2003 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AIEEE 2003
The trigonometric equation \({\sin ^{ - 1}}x = 2{\sin ^{ - 1}}a\) has a solution for :
A
\(\left| a \right| \ge {1 \over {\sqrt 2 }}\)
B
\({1 \over 2} < \left| a \right| < {1 \over {\sqrt 2 }}\)
C
all real values of \(a\)
D
\(\left| a \right| \le {1 \over {\sqrt 2 }}\)
Open complete paper
3
2005 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AIEEE 2005
If \({\cos ^{ - 1}}x - {\cos ^{ - 1}}{y \over 2} = \alpha ,\) then \(4{x^2} - 4xy\cos \alpha + {y^2}\) is equal to :
A
\(2\sin 2\alpha\)
B
\(4\)
C
\(4{\sin ^2}\alpha\)
D
\(-4{\sin ^2}\alpha\)
Open complete paper
4
2007 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AIEEE 2007
If sin-1\(\left( {{x \over 5}} \right)\) + cosec-1\(\left( {{5 \over 4}} \right)\) = \({\pi \over 2}\), then the value of x is :
A
4
B
5
C
1
D
3
Open complete paper
5
2008 · Mathematics · Trigonometry · Inverse Trigonometric Functions
AIEEE 2008
The value of \(cot\left( {\cos e{c^{ - 1}}{5 \over 3} + {{\tan }^{ - 1}}{2 \over 3}} \right)\) is :
A
\({{6 \over 17}}\)
B
\({{3 \over 17}}\)
C
\({{4 \over 17}}\)
D
\({{5 \over 17}}\)
Open complete paper
6
2013 · Mathematics · Trigonometry · Inverse Trigonometric Functions
JEE MAIN 2013 OFFLINE
If \(x, y, z\) are in A.P. and \({\tan ^{ - 1}}x,{\tan ^{ - 1}}y\) and \({\tan ^{ - 1}}z\) are also in A.P., then :
A
\(x=y=z\)
B
\(2x=3y=6z\)
C
\(6x=3y=2z\)
D
\(6x=4y=3z\)
Open complete paper
7
2015 · Mathematics · Trigonometry · Inverse Trigonometric Functions
JEE MAIN 2015 OFFLINE
Let \({\tan ^{ - 1}}y = {\tan ^{ - 1}}x + {\tan ^{ - 1}}\left( {{{2x} \over {1 - {x^2}}}} \right),\)
where \(\left| x \right| < {1 \over {\sqrt 3 }}.\) Then a value of \(y\) is :
A
\({{3x - {x^3}} \over {1 + 3{x^2}}}\)
B
\({{3x + {x^3}} \over {1 + 3{x^2}}}\)
C
\({{3x - {x^3}} \over {1 - 3{x^2}}}\)
D
\({{3x + {x^3}} \over {1 - 3{x^2}}}\)
Open complete paper
8
2017 · Mathematics · Trigonometry · Inverse Trigonometric Functions
JEE MAIN 2017 ONLINE 8TH APRIL MORNING SLOT
The value of tan-1 \(\left[ {{{\sqrt {1 + {x^2}} + \sqrt {1 - {x^2}} } \over {\sqrt {1 + {x^2}} - \sqrt {1 - {x^2}} }}} \right],\) \(\left| x \right| < {1 \over 2},x \ne 0,\) is equal to :
A
\({\pi \over 4} + {1 \over 2}{\cos ^{ - 1}}\,{x^2}\)
B
\({\pi \over 4} + {\cos ^{ - 1}}\,{x^2}\)
C
\({\pi \over 4} - {1 \over 2}{\cos ^{ - 1}}\,{x^2}\)
D
\({\pi \over 4} - {\cos ^{ - 1}}\,{x^2}\)
Open complete paper
9
2017 · Mathematics · Trigonometry · Inverse Trigonometric Functions
JEE MAIN 2017 ONLINE 9TH APRIL MORNING SLOT
A value of x satisfying the equation sin[cot−1 (1+ x)] = cos [tan−1 x], is :
A
\(- {1 \over 2}\)
B
\(-\) 1
C
0
D
\({1 \over 2}\)
Open complete paper
10
2019 · Mathematics · Trigonometry · Inverse Trigonometric Functions
JEE MAIN 2019 ONLINE 10TH APRIL EVENING SLOT
If \({\cos ^{ - 1}}x - {\cos ^{ - 1}}{y \over 2} = \alpha\),where –1 \(\le\) x \(\le\) 1, – 2 \(\le\) y \(\le\) 2, x \(\le\) \({y \over 2}\) , then for all x, y, 4x2 – 4xy cos \(\alpha\) + y2 is equal to :
A
4 sin2 \(\alpha\)
B
2 sin2 \(\alpha\)
C
4 sin2 \(\alpha\) - 2x2y2
D
4 cos2 \(\alpha\) + 2x2y2
Open complete paper
11
2019 · Mathematics · Trigonometry · Inverse Trigonometric Functions
JEE MAIN 2019 ONLINE 10TH JANUARY EVENING SLOT
The value of \(\cot \left( {\sum\limits_{n = 1}^{19} {{{\cot }^{ - 1}}} \left( {1 + \sum\limits_{p = 1}^n {2p} } \right)} \right)\) is :
A
\({{22} \over {23}}\)
B
\({{23} \over {22}}\)
C
\({{21} \over {19}}\)
D
\({{19} \over {21}}\)
Open complete paper
12
2019 · Mathematics · Trigonometry · Inverse Trigonometric Functions
JEE MAIN 2019 ONLINE 11TH JANUARY EVENING SLOT
All x satisfying the inequality (cot–1 x)2– 7(cot–1 x) + 10 > 0, lie in the interval :
A
(cot 2, \(\infty\))
B
(–\(\infty\), cot 5) \(\cup\) (cot 2, \(\infty\))
C
(cot 5, cot 4)
D
(– \(\infty\), cot 5) \(\cup\) (cot 4, cot 2)
Open complete paper
13
2019 · Mathematics · Trigonometry · Inverse Trigonometric Functions
JEE MAIN 2019 ONLINE 12TH APRIL MORNING SLOT
The value of \({\sin ^{ - 1}}\left( {{{12} \over {13}}} \right) - {\sin ^{ - 1}}\left( {{3 \over 5}} \right)\) is equal to :
A
\(\pi - {\sin ^{ - 1}}\left( {{{63} \over {65}}} \right)\)
B
\({\pi \over 2} - {\sin ^{ - 1}}\left( {{{56} \over {65}}} \right)\)
C
\({\pi \over 2} - {\cos ^{ - 1}}\left( {{9 \over {65}}} \right)\)
D
\(\pi - {\cos ^{ - 1}}\left( {{{33} \over {65}}} \right)\)
Open complete paper
14
2019 · Mathematics · Trigonometry · Inverse Trigonometric Functions
JEE MAIN 2019 ONLINE 12TH JANUARY MORNING SLOT
Considering only the principal values of inverse functions, the set
A = { x \(\ge\) 0: tan\(-\)1(2x) + tan\(-\)1(3x) = \({\pi \over 4}\)}
A
contains two elements
B
contains more than two elements
C
is an empty set
D
is a singleton
Open complete paper
15
2019 · Mathematics · Trigonometry · Inverse Trigonometric Functions
JEE MAIN 2019 ONLINE 8TH APRIL MORNING SLOT
If \(\alpha = {\cos ^{ - 1}}\left( {{3 \over 5}} \right)\), \(\beta = {\tan ^{ - 1}}\left( {{1 \over 3}} \right)\) where \(0 < \alpha ,\beta < {\pi \over 2}\) , then \(\alpha\) - \(\beta\) is equal to :
A
\({\tan ^{ - 1}}\left( {{9 \over {14 }}} \right)\)
B
\({\sin ^{ - 1}}\left( {{9 \over {5\sqrt {10} }}} \right)\)
C
\({\cos ^{ - 1}}\left( {{9 \over {5\sqrt {10} }}} \right)\)
D
\({\tan ^{ - 1}}\left( {{9 \over {5\sqrt {10} }}} \right)\)
Open complete paper
16
2019 · Mathematics · Trigonometry · Inverse Trigonometric Functions
JEE MAIN 2019 ONLINE 9TH JANUARY EVENING SLOT
If  x = sin\(-\)1(sin10) and y = cos\(-\)1(cos10), then y \(-\) x is equal to :
A
0
B
10
C
7\(\pi\)
D
\(\pi\)
Open complete paper
17
2019 · Mathematics · Trigonometry · Inverse Trigonometric Functions
JEE MAIN 2019 ONLINE 9TH JANUARY MORNING SLOT
If \({\cos ^{ - 1}}\left( {{2 \over {3x}}} \right) + {\cos ^{ - 1}}\left( {{3 \over {4x}}} \right) = {\pi \over 2}\) (x > \(3 \over 4\)), then x is equal to :
A
\({{\sqrt {145} } \over {10}}\)
B
\({{\sqrt {145} } \over {11}}\)
C
\({{\sqrt {145} } \over {12}}\)
D
\({{\sqrt {146} } \over {12}}\)
Open complete paper
18
2020 · Mathematics · Trigonometry · Inverse Trigonometric Functions
JEE MAIN 2020 ONLINE 2ND SEPTEMBER MORNING SLOT
The domain of the function
f(x) = \({\sin ^{ - 1}}\left( {{{\left| x \right| + 5} \over {{x^2} + 1}}} \right)\) is (– \(\infty\), -a]\(\cup\)[a, \(\infty\)). Then a is equal to :
A
\({{\sqrt {17} - 1} \over 2}\)
B
\({{1 + \sqrt {17} } \over 2}\)
C
\({{\sqrt {17} } \over 2} + 1\)
D
\({{\sqrt {17} } \over 2}\)
Open complete paper
19
2020 · Mathematics · Trigonometry · Inverse Trigonometric Functions
JEE MAIN 2020 ONLINE 3RD SEPTEMBER MORNING SLOT
2\(\pi\) - \(\left( {{{\sin }^{ - 1}}{4 \over 5} + {{\sin }^{ - 1}}{5 \over {13}} + {{\sin }^{ - 1}}{{16} \over {65}}} \right)\) is equal to :
A
\({{7\pi } \over 4}\)
B
\({{5\pi } \over 4}\)
C
\({{3\pi } \over 2}\)
D
\({\pi \over 2}\)
Open complete paper
20
2020 · Mathematics · Trigonometry · Inverse Trigonometric Functions
JEE MAIN 2020 ONLINE 5TH SEPTEMBER MORNING SLOT
If S is the sum of the first 10 terms of the series

$${\tan ^{ - 1}}\left( {{1 \over 3}} \right) + {\tan ^{ - 1}}\left( {{1 \over 7}} \right) + {\tan ^{ - 1}}\left( {{1 \over {13}}} \right) + {\tan ^{ - 1}}\left( {{1 \over {21}}} \right) + ....$$

then tan(S) is equal to :
A
\({10 \over {11}}\)
B
\({5 \over {11}}\)
C
-\({6 \over {5}}\)
D
\({5 \over {6}}\)
Open complete paper

Showing 20 of 98 questions