JEE Mathematics

Trigonometric Ratios & Identities: JEE Questions & Solutions

20 previous-year JEE Mathematics questions on Trigonometric Ratios & Identities, each with a worked step-by-step solution.

Basic

Previous-year questions

  1. 01The value of cosec 10^° - √3 sec 10^° is equal to:MCQMediumJEE 2026
  2. 02If (cos² 48^° - sin² 12^°)/(sin² 24^° - sin² 6^°) = (α + β√5)/2, where α, β ∈ ℕ, then the value of α + β is.NVAMediumJEE 2026
  3. 03Let α and β respectively be the maximum and the minimum values of the function f(θ) = 4(sin⁴(7π/2 - θ) + sin⁴(11π + θ)) - 2(sin⁶(3π/2 - θ)…MCQMediumJEE 2026
  4. 04The sum of all the real solutions of the equation log_(x+3)(6x² + 28x + 30) = 5 - 2log_(6x+10)(x² + 6x + 9) is equal toMCQMediumJEE 2026
  5. 05The least value of (cos² θ - 6sin θ cos θ + 3sin² θ + 2) isMCQMediumJEE 2026
  6. 06Let π/2 < θ < π and cot θ = -1/2√2. Then the value of sin(15θ/2)(cos 8θ + sin 8θ) + cos(15θ/2)(cos 8θ - sin 8θ) is equal toMCQMediumJEE 2026
  7. 07The value of (√3cosec 20^° - sec 20^°)/(cos 20^° cos 40^° cos 60^° cos 80^°) is equal toMCQMediumJEE 2026
  8. 08If cot x=5/12 for some x∈(π,3π/2), then sin 7x(cos 13x/2+sin 13x/2) +cos 7x(cos 13x/2-sin 13x/2) is equal toMCQMediumJEE 2026
  9. 09If tan(A-B)/(tan A)+(sin² C)/(sin² A)=1, A,B,C∈(0,π/2), then:MCQMediumJEE 2026
  10. 10The sum of all the elements in the range of f(x)=sgn(sin x)+sgn(cos x) +sgn(tan x)+sgn(cot x), where x≠ nπ/2, n∈ℤ, sgn(t)= 1, t>0 -1, t<0…MCQEasyJEE 2026
  11. 11The value of (sin 70^°)(cot 10^° cot 70^° - 1) is:MCQEasyJEE 2025
  12. 12The value of Σ_(r=1)¹³ 1/sin(π/4 + (r-1)π/6)sin(π/4 + rπ/6) = a√3 + b, where a, b ∈ ℤ. Then a² + b² is equal to:MCQMediumJEE 2025
  13. 13Let M and m respectively be the maximum and the minimum values of f(x) = 1 + sin² x cos² x 4sin 4x sin² x 1 + cos² x 4sin 4x sin² x cos² x…MCQMediumJEE 2025
  14. 14If sin x + sin² x = 1, x ∈ (0, π/2), then the expression (cos¹² x + tan¹² x) + 3(cos¹⁰ x + tan¹⁰ x + cos⁸ x + tan⁸ x) + (cos⁶ x + tan⁶ x)…MCQMediumJEE 2025
  15. 15If 10 sin⁴ θ + 15 cos⁴ θ = 6, then the value of (27 csc⁶ θ + 8 sec⁶ θ)/(16 sec⁸ θ) is:MCQMediumJEE 2025
  16. 16Let the set of all a in ℝ such that the equation cos(2x) + a sin(x) = 2a - 7 has a solution be [p, q], and r = tan(9^°) - tan(27^°) -…MCQMediumJEE 2024
  17. 17The sum of the solutions x ∈ ℝ of the equation (3 cos(2x) + cos³(2x))/(cos⁶(x) - sin⁶(x)) = x³ - x² + 6 is:MCQMediumJEE 2024
  18. 18The number of solutions of the equation 4 sin² x - 4 cos³ x + 9 - 4 cos x = 0, for x ∈ [-2π, 2π], is:MCQMediumJEE 2024
  19. 19The value of tan 9^° - tan 27^° - tan 63^° + tan 81^° is:NVAMediumJEE 2023
  20. 20Let f(x) = (sin x + cos x - √2)/(sin x - cos x), where x ∈ [0, π] - {π/4}. Then f(7π/12) · f''(7π/12) is equal to:MCQMediumJEE 2023

Frequently asked questions

Our bank has 20 previous-year JEE Mathematics questions tagged to Trigonometric Ratios & Identities, drawn from JEE papers between 2023 and 2026, including 10 from 2026 alone. Each comes with a full step-by-step solution.

Trigonometric Ratios & Identities is rated Basic overall for JEE Mathematics. The PYQs on this page break down as 18 medium, 2 easy.

Of the 20 previous-year questions on Trigonometric Ratios & Identities, 18 are multiple-choice (MCQ) and 2 are numerical-value (NVA) questions.

Based on recent paper analysis, Trigonometric Ratios & Identities is worth about 1 mark in JEE Main. It sits in Trigonometry, a Class 11 Mathematics chapter.

More Trigonometry topics

Inverse Trigonometric Functions24Trigonometric Equations22Properties of Triangles9

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