Trigonometric Ratio and Identites PYQs - Last 10 Years
JEE Main / Mathematics / Trigonometry / 60 recent questions
MathematicsTrigonometry2017-2026
Practice 60 JEE Main Mathematics questions from Trigonometric Ratio and Identites. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
60
PYQs on Page
Mathematics / Trigonometry
2017-2026
Year Range
Based on indexed question metadata
38
Last 5 Years
2022-2026
60
Last 10 Years
2017-2026
Recent Year Trend
2021
2022
2023
2024
2025
2026Latest year
202112 max PYQs/year2026
Question Types
60PYQs
MCQ85%
INTEGER15%
Difficulty Mix
#1 Medium49
#2 Hard6
#3 Easy5
38 in last 5 years60 in last 10 years
Last 10 Years Trigonometric Ratio and Identites Questions
Showing 10 of 60 filtered questions.
1Trigonometric Ratio And Identites
If L = sin2\(\left( {{\pi \over {16}}} \right)\) - sin2\(\left( {{\pi \over {8}}} \right)\) and
M = cos2\(\left( {{\pi \over {16}}} \right)\) - sin2\(\left( {{\pi \over {8}}} \right)\), then :
M = cos2\(\left( {{\pi \over {16}}} \right)\) - sin2\(\left( {{\pi \over {8}}} \right)\), then :
MCQ+4 / -12020
2Trigonometric Ratio And Identites
If the equation cos4 \(\theta\) + sin4 \(\theta\) +
\(\lambda\) = 0 has real
solutions for
\(\theta\), then
\(\lambda\) lies in the interval :
\(\lambda\) = 0 has real
solutions for
\(\theta\), then
\(\lambda\) lies in the interval :
MCQ+4 / -12020
3Trigonometric Ratio And Identites
For any \(\theta \in \left( {{\pi \over 4},{\pi \over 2}} \right)\), the expression
\(3{(\cos \theta - \sin \theta )^4}\)\(+ 6{(\sin \theta + \cos \theta )^2} + 4{\sin ^6}\theta\)
equals :
\(3{(\cos \theta - \sin \theta )^4}\)\(+ 6{(\sin \theta + \cos \theta )^2} + 4{\sin ^6}\theta\)
equals :
MCQ+4 / -12019
4Trigonometric Ratio And Identites
The value of cos210° – cos10°cos50° + cos250° is
MCQ+4 / -12019
5Trigonometric Ratio And Identites
The value of sin 10º sin30º sin50º sin70º is :-
MCQ+4 / -12019
6Trigonometric Ratio And Identites
If cos(\(\alpha\) + \(\beta\)) = 3/5 ,sin ( \(\alpha\) - \(\beta\)) = 5/13 and
0 < \(\alpha , \beta\) < \(\pi \over 4\), then tan(2\(\alpha\)) is equal to :
0 < \(\alpha , \beta\) < \(\pi \over 4\), then tan(2\(\alpha\)) is equal to :
MCQ+4 / -12019
7Trigonometric Ratio And Identites
The maximum value of 3cos\(\theta\) + 5sin \(\left( {\theta - {\pi \over 6}} \right)\) for any real value of \(\theta\) is :
MCQ+4 / -12019
8Trigonometric Ratio And Identites
The equation y = sinx sin (x + 2) – sin2
(x + 1) represents a straight line lying in :
(x + 1) represents a straight line lying in :
MCQ+4 / -12019
9Trigonometric Ratio And Identites
The value of \(\cos {\pi \over {{2^2}}}.\cos {\pi \over {{2^3}}}\,.....\cos {\pi \over {{2^{10}}}}.\sin {\pi \over {{2^{10}}}}\) is -
MCQ+4 / -12019
10Trigonometric Ratio And Identites
If \(5\left( {{{\tan }^2}x - {{\cos }^2}x} \right) = 2\cos 2x + 9\),
then the value of \(\cos 4x\) is :
then the value of \(\cos 4x\) is :
MCQ+4 / -12017