Trigonometric Functions And Equations — JEE Main Previous Year Questions

How many JEE Main questions come from Trigonometric Functions And Equations?

Trigonometric Functions And Equations has contributed 20 questions to Joint Entrance Examination (Main) papers between 2024 and 2026 — an average of about 7 questions a year. That count is measured from EByAi’s bank of 55,289 JEE Main questions, not estimated from a syllabus. Every one of the 20 questions carries a written, step-by-step solution, and each is tagged to Trigonometric Functions And Equations within Mathematics, so you can drill this chapter across every year at once instead of hunting through paper PDFs. Practising a chapter’s full PYQ history is the fastest way to learn the patterns examiners reuse.

Sample Trigonometric Functions And Equations questions from real JEE Main papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 20 Trigonometric Functions And Equations questions (with full written solutions) are available in practice.

1. Question 1 · JEE Main 2026

   Number of solutions of $\sqrt{3}\cos 2\theta +8\cos \theta +3\sqrt{3}=0,\theta \in [-3\pi ,2\pi ]$ is :
   1. (A)5
   2. (B)4
   3. (C)3
   4. (D)0
   Show answerAnswer

   Answer: (A) 5

2. Question 2 · JEE Main 2026

   Let $S=\{x\in [-\pi ,\pi ]:\sin x(\sin x+\cos x)=a,a\in \mathbb{Z}\}$. Then $n(S)$ is equal to:
   1. (A)3
   2. (B)6
   3. (C)7
   4. (D)9
   Show answerAnswer

   Answer: (D) 9

3. Question 3 · JEE Main 2026

   Let $S=\{\theta \in (-2\pi ,2\pi ):\cos \theta +1=\sqrt{3}\sin \theta \}$. Then $\sum _{\theta \in \mathrm{S}}\theta$ is equal to :
   1. (A)$-\frac{2\pi }{3}$
   2. (B)$-\frac{4\pi }{3}$
   3. (C)$\frac{2\pi }{3}$
   4. (D)$\frac{4\pi }{3}$
   Show answerAnswer

   Answer: (B) $-\frac{4\pi }{3}$

4. Question 4 · JEE Main 2026

   The sum of all the integral values of $p$ such that the equation $3{\sin }^{2}x+12\cos x-3=p,x\in \mathbb{R}$, has at least one solution, is:
   1. (A)-54
   2. (B)-60
   3. (C)-75
   4. (D)-84
   Show answerAnswer

   Answer: (C) -75

5. Question 5 · JEE Main 2025

   The sum of all values of $\theta \in [0,2\pi ]$ satisfying $2{\sin }^2\theta =\cos 2\theta$ and $2{\cos }^2\theta =3\sin \theta$ is
   1. (A)$\pi$
   2. (B)$\frac{5\pi }{6}$
   3. (C)$\frac{\pi }{2}$
   4. (D)$4\pi$
   Show answerAnswer

   Answer: (A) $\pi$

Trigonometric Functions And Equations questions by year

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