JEE MainMathematicsTrigonometric Ratios & Identities

JEE Main Mathematics — Trigonometric Ratios & Identities Previous-Year Questions

66 JEE Main Trigonometric Ratios & Identities PYQs (2002–2026) with verified answers and step-by-step solutions.

This page collects every JEE Main Trigonometric Ratios & Identities 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. Q12026MCQHard

    Let α and β respectively be the maximum and the minimum values of the function f(θ)=4 ( ⁴ ((7 π)/(2)-θ )+ ⁴(11 π+θ) )-2…

  2. Q22026MCQMedium

    The value of √(3) cosec 20ⁱrc- 20ⁱrc 20ⁱrc 40ⁱrc 60ⁱrc 80ⁱrc is equal to

  3. Q32026NumericalHard

    Let (α+β)=-(1)/(10) and (α-β)=(3)/(8), where 0<α<(π)/(3) and 0<β<(π)/(4). If 2 α=3(1-r √(5))√(11)(s+√(5)), r, s N, then…

  4. Q42026MCQHard

    Let (π)/(2) ((15 θ)/(2) )( 8 θ+ 8 θ)+ ((15 θ)/(2) )( 8 θ- 8 θ) is equal to

  5. Q52026MCQMedium

    The least value of ( ² θ-6 θ θ+3 ² θ+2 ) is

  6. Q62026MCQMedium

    Let P = \θ [0, 4π] : ²θ ≠ 1\ and S = \a Z : 2(⁸θ - ⁸θ) 2θ = a², θ P\. Then n(S) is:

  7. Q72026MCQMedium

    If ((π)/(18) ) ((5π)/(18) ) ((7π)/(18) ) = K, then the value of ((10Kπ)/(3) ) is :

  8. Q82026MCQHard

    If (A-B) A+ ² C ² ~A=1, ~A, ~B, C (0, (π)/(2) ), then

  9. Q92026NumericalMedium

    If ² 48ⁱrc- ² 12ⁱrc ² 24ⁱrc- ² 6ⁱrc=α+β √(5)2, where α, β N, then α+β is equal to \\\\\_

  10. Q102026NumericalHard

    If A = ( 3^°)/( 9^°) + ( 9^°)/( 27^°) + ( 27^°)/( 81^°) and B = 81^° - 3^°, then (B)/(A) is equal to _____.

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Frequently asked questions

How many JEE Main Trigonometric Ratios & Identities previous-year questions are there?
PrepSharp has 66 JEE Main Trigonometric Ratios & Identities PYQs spanning 2002–2026, each with a verified answer and a step-by-step solution.
Is Trigonometric Ratios & Identities important for JEE Main?
Trigonometric Ratios & Identities 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 Ratios & Identities solutions for free?
Yes. Open any question to read the full step-by-step solution and verified answer key for free.