JEE Main Maths · Trigonometric Functions

Graphical Root Counting for Mixed Equations

Graphical Root Counting for Mixed Equations (Trigonometric Functions) was asked 2 times in 2 JEE Main shifts, 2022–2025, out of the 42 shifts Lumi analysed. 1 of the 2 had a numerical answer.

Times asked: 2; in 2 shifts
Years: 2022–2025
Usual format: Numerical value; Application
Pattern: Occasional; repeats across shifts

How it is asked

Count solutions of trig equation in interval
Count solutions of mixed trig equation

Difficulty

Easy 0Medium 2Hard 0

Where it sits

Chapter: Trigonometric Functions. Topic: General Solutions, 17 questions over 11 ideas.

All 2 questions

Newest first, each with its options and official answer.

3 Apr 2025, Shift 1 · Q10The number of solutions of the equation $2x + 3\tan x = \pi$ , $x \in [-2\pi, 2\pi] - \left\{\pm\frac{\pi}{2}, \pm\frac{3\pi}{2}\right\}$ is:MediumSingle correct
29 Jun 2022, Shift 1 · Q25The number of solutions of the equation $2\theta - \cos^2\theta + \sqrt{2} = 0$ in $\mathbf{R}$ is equal to ____________.MediumNumerical value