Trigonometric Equations JEE Main PYQs PDF, 2020–2026

Trigonometric Equations questions per year

Topic-wise weightage by year

How many Trigonometric Equations questions each topic had in every JEE Main year (all shifts), counting every question asked, including ones not in the PDF. Darker cells mean more questions.

Swipe the table sideways for older years.

Newest questions (2026)

All 6 JEE Main 2026 Trigonometric Equations questions in the free PDF, latest shift first.

1. JEE Main 2026 · 6 Apr · Shift 1 · Equations Reducible to Quadratic

   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 :

   Solve it online →

2. JEE Main 2026 · 5 Apr · Shift 1 · Equations Reducible to Quadratic

   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:

   Solve it online →

3. JEE Main 2026 · 5 Apr · Shift 2 · Equations Reducible to Quadratic

   If $S=\left\{\theta\in [-\pi,\pi]:\cos \theta\cos \frac{5\theta}{2}=\cos 7\theta\cos \frac{7\theta}{2}\right\}$, then $n(S)$ is equal to $\_\_\_\_$ .

   Solve it online →

4. JEE Main 2026 · 2 Apr · Shift 1 · Equations Reducible to Quadratic

   Let $S=\{x\in [-\pi,\pi]:\sin x(\sin x+\cos x)=a,\ a\in {\mathbb{Z}}\}$. Then $n(S)$ is equal to:

   Solve it online →

5. JEE Main 2026 · 24 Jan · Shift 2 · Equations Reducible to Quadratic

   The number of elements in the set $\{x\in [0,{180}^{{\circ}}]:\tan (x+{100}^{{\circ}})=\tan (x+{50}^{{\circ}})\tan x\tan (x-{50}^{{\circ}})\}$ is $\_\_\_\_$ .

   Solve it online →

6. JEE Main 2026 · 23 Jan · Shift 1 · Equations Reducible to Quadratic

   Number of solutions of $\sqrt{3}\cos 2\theta+8\cos \theta+3\sqrt{3}=0,\theta\in [-3\pi,2\pi]$ is :

   Solve it online →

Practise the 2026 Trigonometric Equations questions online

Sample questions from recent papers

The free PDF above has all 48 questions grouped by topic, with an answer key.

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JEE Main PYQs by year: 2026 · 2025 · 2024 · 2023 · 2022 · 2021 · 2020