JEE MainMathematicsTrigonometric Equations

JEE Main Mathematics — Trigonometric Equations Previous-Year Questions

78 JEE Main Trigonometric Equations PYQs (2002–2026) with verified answers and step-by-step solutions.

This page collects every JEE Main Trigonometric Equations previous-year question from Mathematics, 2002–2026. Each links to a full solution with a verified answer key. Click any year above to narrow the list, or open a question to study its step-by-step working and then practice it on PrepSharp's CBT player.

  1. Q12026NumericalHard

    If S = \θ [-π, π] : θ (5θ)/(2) = 7θ (7θ)/(2) \, then n(S) is equal to _______.

  2. Q22026MCQMedium

    Let S = \x [-π, π] : x ( x + x) = a, a Z\. Then n(S) is equal to :

  3. Q32026NumericalHard

    The number of elements in the set \x [0,180ⁱrc ]: (x+100ⁱrc )= (x+50ⁱrc ) x (x-50ⁱrc ) \ is \\\\_.

  4. Q42026MCQMedium

    Number of solutions of √(3) 2 θ+8 θ+3 √(3)=0, θ [-3 π, 2 π] is:

  5. Q52026MCQMedium

    Let S = \θ (-2π, 2π) : θ + 1 = √(3)θ\. Then Σθ Sθ is equal to:

  6. Q62025MCQMedium

    If for θ [-(π)/(3), 0 ], the points (x, y)= (3 (θ+(π)/(3) ), 2 (θ+(π)/(6) ) ) lie on x y+α x+β y+γ=0, then α²+β²+γ² is…

  7. Q72025MCQMedium

    The number of solutions of the equation 2 θ (θ)/(2)+ (5 θ)/(2)=2 ³ (5 θ)/(2) in [-(π)/(2), (π)/(2) ] is :

  8. Q82025MCQMedium

    If θ [-(7 π)/(6), (4 π)/(3) ], then the number of solutions of √(3) cosec² θ-2(√(3)-1) cosec θ-4=0, is equal to

  9. Q92025MCQEasy

    The sum of all values of θ [0,2 π] satisfying 2 ² θ= 2 θ and 2 ² θ=3 θ is

  10. Q102025MCQEasy

    If 10 ⁴ θ+15 ⁴ θ=6, then the value of 27 cosec⁶ θ+8 ⁶ θ16 ⁸ θ is:

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Frequently asked questions

How many JEE Main Trigonometric Equations previous-year questions are there?
PrepSharp has 78 JEE Main Trigonometric Equations PYQs spanning 2002–2026, each with a verified answer and a step-by-step solution.
Is Trigonometric Equations important for JEE Main?
Trigonometric Equations appears regularly in JEE Main Mathematics. Practising its previous-year questions is one of the most reliable ways to cover the patterns the exam repeats.
Can I see Trigonometric Equations solutions for free?
Yes. Open any question to read the full step-by-step solution and verified answer key for free.