Trigonometric Equations PYQs - Last 10 Years
JEE Main / Mathematics / Trigonometry / 58 recent questions
MathematicsTrigonometry2017-2026
Practice 58 JEE Main Mathematics questions from Trigonometric Equations. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
58
PYQs on Page
Mathematics / Trigonometry
2018-2026
Year Range
Based on indexed question metadata
39
Last 5 Years
2022-2026
58
Last 10 Years
2017-2026
Recent Year Trend
2021
2022
2023
2024
2025
2026Latest year
202115 max PYQs/year2026
Question Types
58PYQs
MCQ70.7%
INTEGER29.3%
Difficulty Mix
#1 Medium50
#2 Hard6
#3 Easy2
39 in last 5 years58 in last 10 years
Last 10 Years Trigonometric Equations Questions
Showing 8 of 58 filtered questions.
1Trigonometric Functions And Equations
If 0 \(\le\) x < \({\pi \over 2}\), then the number of values of x for which sin x \(-\) sin 2x + sin 3x = 0, is :
MCQ+4 / -12019
2Trigonometric Functions And Equations
Let S = {\(\theta\) \(\in\) [–2\(\pi\), 2\(\pi\)] : 2cos2\(\theta\) + 3sin\(\theta\) = 0}.
Then the sum of the elements of S is
Then the sum of the elements of S is
MCQ+4 / -12019
3Trigonometric Functions And Equations
The number of solutions of the equation
1 + sin4
x = cos23x, \(x \in \left[ { - {{5\pi } \over 2},{{5\pi } \over 2}} \right]\) is :
1 + sin4
x = cos23x, \(x \in \left[ { - {{5\pi } \over 2},{{5\pi } \over 2}} \right]\) is :
MCQ+4 / -12019
4Trigonometric Functions And Equations
Let S be the set of all \(\alpha\) \(\in\) R such that the equation, cos2x + \(\alpha\)sinx = 2\(\alpha\)– 7 has a solution. Then S is equal to :
MCQ+4 / -12019
5Trigonometric Functions And Equations
If [x] denotes the greatest integer \(\le\) x, then the system of linear equations [sin \(\theta\)]x + [–cos\(\theta\)]y = 0, [cot\(\theta\)]x + y = 0
MCQ+4 / -12019
6Trigonometric Functions And Equations
The sum of all values of \(\theta\) \(\in\)\(\left( {0,{\pi \over 2}} \right)\) satisfying sin2 2\(\theta\) + cos4 2\(\theta\) = \({3 \over 4}\) is -
MCQ+4 / -12019
7Trigonometric Functions And Equations
The number of solutions of sin3x = cos 2x, in the interval \(\left( {{\pi \over 2},\pi } \right)\) is :
MCQ+4 / -12018
8Trigonometric Functions And Equations
If sum of all the solutions of the equation
\(8\cos x.\left( {\cos \left( {{\pi \over 6} + x} \right).\cos \left( {{\pi \over 6} - x} \right) - {1 \over 2}} \right) = 1\)
in [0, \(\pi\)] is k\(\pi\), then k is equal to
\(8\cos x.\left( {\cos \left( {{\pi \over 6} + x} \right).\cos \left( {{\pi \over 6} - x} \right) - {1 \over 2}} \right) = 1\)
in [0, \(\pi\)] is k\(\pi\), then k is equal to
MCQ+4 / -12018