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Previous year question hub

Trigonometry - Mathematics Previous Year Questions

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

73Papers
49Years
205Questions
1Topics

Trigonometry question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Trigonometry. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 119 56.9%
Easy 44 21.1%
Hard 39 18.7%
Not classified 7 3.3%

Question type distribution

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

Multiple Choices 120 57.4%
Subjective 54 25.8%
Numerical Answer Type (NAT) 21 10%
Fill in the blanks 14 6.7%

Subject weightage

Top subjects by unique question coverage.

Mathematics
205 Qs

Most asked topics

Top topics across the included previous year papers.

Trigonometry
205 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Trigonometric Functions And Equations
99 Qs
Properties Of Triangle
77 Qs
Inverse Trigonometric Functions
29 Qs

Paper coverage

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

JEE Advanced 2026 Paper 1 Online
2 Qs
JEE Advanced 2026 Paper 1 Online
2 Qs
JEE Advanced 2026 Paper 1 Online
2 Qs
JEE Advanced 2026 Paper 2 Online
1 Qs
JEE ADVANCED 2025 PAPER 2 ONLINE
2 Qs
JEE ADVANCED 2024 PAPER 1 ONLINE
1 Qs
JEE ADVANCED 2024 PAPER 2 ONLINE
1 Qs
JEE ADVANCED 2023 PAPER 2 ONLINE
3 Qs
JEE ADVANCED 2023 PAPER 1 ONLINE
1 Qs
JEE ADVANCED 2022 PAPER 1 ONLINE
2 Qs
JEE ADVANCED 2022 PAPER 2 ONLINE
2 Qs
JEE ADVANCED 2021 PAPER 1 ONLINE
1 Qs
JEE ADVANCED 2021 PAPER 2 ONLINE
1 Qs
JEE ADVANCED 2020 PAPER 1 OFFLINE
2 Qs
JEE ADVANCED 2019 PAPER 2 OFFLINE
4 Qs
JEE ADVANCED 2019 PAPER 1 OFFLINE
1 Qs
JEE ADVANCED 2018 PAPER 1 OFFLINE
2 Qs
JEE ADVANCED 2018 PAPER 2 OFFLINE
2 Qs
JEE ADVANCED 2017 PAPER 2 OFFLINE
2 Qs
JEE ADVANCED 2016 PAPER 1 OFFLINE
2 Qs
JEE ADVANCED 2016 PAPER 2 OFFLINE
1 Qs
JEE ADVANCED 2015 PAPER 1 OFFLINE
2 Qs
JEE ADVANCED 2015 PAPER 2 OFFLINE
1 Qs
JEE ADVANCED 2014 PAPER 2 OFFLINE
3 Qs
JEE ADVANCED 2014 PAPER 1 OFFLINE
1 Qs
JEE ADVANCED 2013 PAPER 1 OFFLINE
3 Qs
JEE ADVANCED 2013 PAPER 2 OFFLINE
2 Qs
IIT JEE 2012 PAPER 1 OFFLINE
1 Qs
IIT JEE 2012 PAPER 2 OFFLINE
1 Qs
IIT JEE 2011 PAPER 1 OFFLINE
2 Qs
IIT JEE 2010 PAPER 1 OFFLINE
5 Qs
IIT JEE 2010 PAPER 2 OFFLINE
2 Qs
IIT JEE 2009 PAPER 2 OFFLINE
3 Qs
IIT JEE 2009 PAPER 1 OFFLINE
1 Qs
IIT JEE 2008 PAPER 1 OFFLINE
1 Qs
IIT JEE 2008 PAPER 2 OFFLINE
1 Qs
IIT JEE 2007 PAPER 1 OFFLINE
2 Qs
IIT JEE 2007 PAPER 2 OFFLINE
1 Qs
IIT JEE 2006
4 Qs
IIT JEE 2005
2 Qs
IIT JEE 2005 SCREENING
2 Qs
IIT JEE 2004 SCREENING
3 Qs
IIT JEE 2003
1 Qs
IIT JEE 2003 SCREENING
1 Qs
IIT JEE 2002 SCREENING
2 Qs
IIT JEE 2002
1 Qs
IIT JEE 2001 SCREENING
5 Qs
IIT JEE 2001
1 Qs
IIT JEE 2000 SCREENING
4 Qs
IIT JEE 2000
2 Qs
IIT JEE 1999
4 Qs
IIT JEE 1998
7 Qs
IIT JEE 1997
3 Qs
IIT JEE 1996
4 Qs
IIT JEE 1995 SCREENING
3 Qs
IIT JEE 1995
2 Qs
IIT JEE 1994
11 Qs
IIT JEE 1993
6 Qs
IIT JEE 1992
3 Qs
IIT JEE 1991
5 Qs
IIT JEE 1990
4 Qs
IIT JEE 1989
3 Qs
IIT JEE 1988
4 Qs
IIT JEE 1987
6 Qs
IIT JEE 1986
4 Qs
IIT JEE 1985
4 Qs
IIT JEE 1984
6 Qs
IIT JEE 1983
7 Qs
IIT JEE 1982
2 Qs
IIT JEE 1981
5 Qs
IIT JEE 1980
11 Qs
IIT JEE 1979
6 Qs
IIT JEE 1978
2 Qs

Browse by subtopics

Open a focused page built from the same verified paper data.

Trigonometric Functions And Equations

Explore previous-paper coverage, trends and focused practice for Trigonometric Functions And Equations.

99 questions56 papers45 years

Properties Of Triangle

Explore previous-paper coverage, trends and focused practice for Properties Of Triangle.

77 questions45 papers39 years

Inverse Trigonometric Functions

Explore previous-paper coverage, trends and focused practice for Inverse Trigonometric Functions.

29 questions29 papers22 years

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
JEE Advanced 2026 Paper 1 Online20262View paper
JEE Advanced 2026 Paper 1 Online20262View paper
JEE Advanced 2026 Paper 1 Online20262View paper
JEE Advanced 2026 Paper 2 Online20261View paper
JEE ADVANCED 2025 PAPER 2 ONLINE20252View paper
JEE ADVANCED 2024 PAPER 1 ONLINE20241View paper
JEE ADVANCED 2024 PAPER 2 ONLINE20241View paper
JEE ADVANCED 2023 PAPER 1 ONLINE20231View paper
JEE ADVANCED 2023 PAPER 2 ONLINE20233View paper
JEE ADVANCED 2022 PAPER 1 ONLINE20222View paper
JEE ADVANCED 2022 PAPER 2 ONLINE20222View paper
JEE ADVANCED 2021 PAPER 1 ONLINE20211View paper
JEE ADVANCED 2021 PAPER 2 ONLINE20211View paper
JEE ADVANCED 2020 PAPER 1 OFFLINE20202View paper
JEE ADVANCED 2019 PAPER 1 OFFLINE20191View paper
JEE ADVANCED 2019 PAPER 2 OFFLINE20194View paper
JEE ADVANCED 2018 PAPER 1 OFFLINE20182View paper
JEE ADVANCED 2018 PAPER 2 OFFLINE20182View paper
JEE ADVANCED 2017 PAPER 2 OFFLINE20172View paper
JEE ADVANCED 2016 PAPER 1 OFFLINE20162View paper
JEE ADVANCED 2016 PAPER 2 OFFLINE20161View paper
JEE ADVANCED 2015 PAPER 1 OFFLINE20152View paper
JEE ADVANCED 2015 PAPER 2 OFFLINE20151View paper
JEE ADVANCED 2014 PAPER 1 OFFLINE20141View paper
JEE ADVANCED 2014 PAPER 2 OFFLINE20143View paper
JEE ADVANCED 2013 PAPER 1 OFFLINE20133View paper
JEE ADVANCED 2013 PAPER 2 OFFLINE20132View paper
IIT JEE 2012 PAPER 1 OFFLINE20121View paper
IIT JEE 2012 PAPER 2 OFFLINE20121View paper
IIT JEE 2011 PAPER 1 OFFLINE20112View paper
IIT JEE 2010 PAPER 1 OFFLINE20105View paper
IIT JEE 2010 PAPER 2 OFFLINE20102View paper
IIT JEE 2009 PAPER 1 OFFLINE20091View paper
IIT JEE 2009 PAPER 2 OFFLINE20093View paper
IIT JEE 2008 PAPER 1 OFFLINE20081View paper
IIT JEE 2008 PAPER 2 OFFLINE20081View paper
IIT JEE 2007 PAPER 1 OFFLINE20072View paper
IIT JEE 2007 PAPER 2 OFFLINE20071View paper
IIT JEE 200620064View paper
IIT JEE 200520052View paper
IIT JEE 2005 SCREENING20052View paper
IIT JEE 2004 SCREENING20043View paper
IIT JEE 200320031View paper
IIT JEE 2003 SCREENING20031View paper
IIT JEE 200220021View paper
IIT JEE 2002 SCREENING20022View paper
IIT JEE 200120011View paper
IIT JEE 2001 SCREENING20015View paper
IIT JEE 200020002View paper
IIT JEE 2000 SCREENING20004View paper
IIT JEE 199919994View paper
IIT JEE 199819987View paper
IIT JEE 199719973View paper
IIT JEE 199619964View paper
IIT JEE 199519952View paper
IIT JEE 1995 SCREENING19953View paper
IIT JEE 1994199411View paper
IIT JEE 199319936View paper
IIT JEE 199219923View paper
IIT JEE 199119915View paper
IIT JEE 199019904View paper
IIT JEE 198919893View paper
IIT JEE 198819884View paper
IIT JEE 198719876View paper
IIT JEE 198619864View paper
IIT JEE 198519854View paper
IIT JEE 198419846View paper
IIT JEE 198319837View paper
IIT JEE 198219822View paper
IIT JEE 198119815View paper
IIT JEE 1980198011View paper
IIT JEE 197919796View paper
IIT JEE 197819782View paper

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
1978 · Mathematics · Trigonometry · Trigonometric Functions And Equations
IIT JEE 1978
If \(\tan \alpha = {m \over {m + 1}}\,\) and \(\tan \beta = {2 \over {2m + 1}},\) find the possible values of \(\left( {\alpha + \beta } \right).\)
Write your response
Open complete paper
2
1979 · Mathematics · Trigonometry · Properties Of Triangle
IIT JEE 1979
(a) If a circle is inscribed in a right angled triangle \(ABC\) with the right angle at \(B\), show that the diameter of the circle is equal to \(AB+BC-AC\).

(b) If a triangle is inscribed in a circle, then the product of any two sides of the triangle is equal to the product of the diameter and the perpendicular distance of the third side from the opposite vertex. Prove the above statement.

Write your response
Open complete paper
3
1980 · Mathematics · Trigonometry · Trigonometric Functions And Equations
IIT JEE 1980
Given \(\alpha + \beta - \gamma = \pi ,\) prove that
$$\,{\sin ^2}\alpha + {\sin ^2}\beta - {\sin ^2}\gamma = 2\sin \alpha {\mkern 1mu} \sin \beta {\mkern 1mu} \cos y$$
Write your response
Open complete paper
4
1981 · Mathematics · Trigonometry · Trigonometric Functions And Equations
IIT JEE 1981
Suppose \({\sin ^3}\,x\sin 3x = \sum\limits_{m = 0}^n {{C_m}\cos \,mx}\) is an identity in x, where C0, C1 ,....Cn are constants, and \({C_n} \ne 0\) , then the value of n is _____.
Write your response
Open complete paper
5
1982 · Mathematics · Trigonometry · Trigonometric Functions And Equations
IIT JEE 1982
Without using tables, prove that \(\left( {\sin \,{{12}^ \circ }} \right)\left( {\sin \,{{48}^ \circ }} \right)\left( {\sin \,{{54}^ \circ }} \right) = {1 \over 8}.\)
Write your response
Open complete paper
6
1983 · Mathematics · Trigonometry · Properties Of Triangle
IIT JEE 1983
The ex-radii \({r_1},{r_2},{r_3}\) of \(\Delta\)\(ABC\) are H.P. Show that its sides \(a, b, c\) are in A.P.
Write your response
Open complete paper