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Mathematics - Trigonometric Ratios & Identities

Practise 9 JEE Advanced previous year questions on Trigonometric Ratios & Identities, compiled from papers spanning 2006 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty JEE Advanced tests.

Trigonometric Ratios & Identities has been asked in 7 of the 27 years of JEE Advanced papers analysed (2000–2026), with 9 questions in all. 11% of them were easy, 56% moderate and 33% tough. Most of its questions came from 2022, with 2 questions that year. In the last three years (2024–2026) it had 2 questions across 6 papers, about 0.3 per paper.

The chapter's 5 topics are not weighted equally: Basic Identities & T Ratios (3 questions, 33%), Trigonometric Series (3 questions, 33%), and Sum and Difference & Multiple angle Formula (1 question, 11%) have been asked the most. Over the last five years the most frequent topics have been Trigonometric Series (2), Transformation Formulas (1), and T-Ratios of Multiple & sub multiple angles (1). Trigonometric Series has produced the most tough questions (2).

  1. 1Let . Then the value of is _____________.2026 (Paper 1)T-Ratios of Multiple & sub multiple angles
  2. 2Let Then the value of is __________2025 (Paper 2)Trigonometric Series
  3. 3Let and be real numbers such that - 4 0 4 . If sin + = 1 3 and cos - = 2 3 , then the greatest integer less than or equal to sin cos + cos s2022 (Paper 2)Transformation Formulas
  4. 4Let = k = 1 sin 2 k 6 . Let g : 0 , 1 be the function defined by g x = 2 a x + 2 a 1 - x . Then, which of the following statements is/are TR2022 (Paper 2)Trigonometric Series
  5. 5For non-negative integers n , let f n = k = 0 n sin k + 1 n + 2 sin k + 2 n + 2 k = 0 n sin 2 k + 1 n + 2 Assuming cos - 1 x takes values in2019 (Paper 2)Trigonometric Series
  6. 6The value of sec - 1 1 4 k = 0 10 sec 7 12 + k 2 sec 7 12 + k + 1 2 in the interval - 4 , 3 4 equals2019 (Paper 2)Basic Identities & T Ratios
  7. 7Let a , b , c be three non-zero real numbers such that the equation 3 a cos x + 2 b sin x = c , x - 2 , 2 has two distinct real roots and wi2018 (Paper 1)Sum and Difference & Multiple angle Formula
  8. 8Let be such that for . Then the value (s) of is (are)2012 (Paper 2)Basic Identities & T Ratios
  9. 9Let and and , then2006Basic Identities & T Ratios

Frequently Asked Questions

1.How many questions are available for Trigonometric Ratios & Identities?

This chapter includes 9 questions compiled from JEE Advanced papers spanning 2006 to 2026.

2.Are these questions only from JEE Advanced, or from other exams too?

These are JEE Advanced questions specifically for the Trigonometric Ratios & Identities chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Trigonometric Ratios & Identities an important chapter for JEE Advanced Mathematics?

Trigonometric Ratios & Identities has appeared in 7 of the 21 years of JEE Advanced papers covered here, with 9 questions across 7 papers - about one per paper it appears in.

4.What is the difficulty level of Trigonometric Ratios & Identities questions in JEE Advanced?

Of the 9 questions analysed for this chapter, 11% are easy, 56% moderate and 33% tough. 2022 had the most, with 2 questions.

5.Which topics in Trigonometric Ratios & Identities should I focus on?

These topics have carried the most weightage in Trigonometric Ratios & Identities:

  • Basic Identities & T Ratios - 3 questions (33%)
  • Trigonometric Series - 3 questions (33%)
  • Sum and Difference & Multiple angle Formula - 1 question (11%)
  • Trigonometric Series has produced the most tough questions (2).
6.Is Trigonometric Ratios & Identities's weightage in JEE Advanced going up or down?

Across all 7 papers analysed, Trigonometric Ratios & Identities has averaged about 1.3 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.