Mathematics - Trigonometric Ratios & Identities
Practise 13 NEST (NISER) previous year questions on Trigonometric Ratios & Identities, compiled from papers spanning 2013 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 NEST (NISER) tests.
Trigonometric Ratios & Identities has been asked in 9 of the 16 years of NEST (NISER) papers analysed (2011–2026), with 13 questions in all. 0% of them were easy, 62% moderate and 38% tough. Most of its questions came from 2024, with 3 questions that year. In the last three years (2024–2026) it had 4 questions across 4 papers, about 1 per paper.
The chapter's 6 topics are not weighted equally: Sum and Difference & Multiple angle Formula (4 questions, 31%), Basic Identities & T Ratios (3 questions, 23%), and Trigonometric Series (2 questions, 15%) have been asked the most. Sum and Difference & Multiple angle Formula has also led over the last five years, with 2 questions. Maximum and Minimum Values has produced the most tough questions (2).
- 1Let be a twice differentiable function such that . Let be a differentiable function such that for all . If and , then the value of is2026Basic Identities & T Ratios
- 2The number of points in where the function attains its maximum is2024 (Session 1)Maximum and Minimum Values
- 3In a triangle , and the length of one of its sides is 1 . Let be the sum of the other two sides of . Then2024 (Session 2)Sum and Difference & Multiple angle Formula
- 4Let and denote the total number of solutions of the equation in . Then is2024 (Session 2)Solving Trigonometric Equation
- 5The value of is2023 (Session 2)Trigonometric Series
- 6The value of is equal to2022 (Session 1)Trigonometric Series
- 7If and satisfy the equation , then2022 (Session 2)Sum and Difference & Multiple angle Formula
- 8Let and be real numbers such that . Then the equation has a solution for2022 (Session 2)Maximum and Minimum Values
- 9Let and . Define . Then2021 (Session 1)Basic Identities & T Ratios
- 10Let be a triangle with and . Then the triangle is2019 (Session 1)Sum and Difference & Multiple angle Formula
- 11Let . For every natural number define2018Basic Identities & T Ratios
- 12Suppose , where and are rational numbers. Then equals2015Sum and Difference & Multiple angle Formula
- 13Let be a diameter of a circular pond of radius . A vertical pole of height is erected at . An observer at finds that the angle of elevation 2013Sine Rule and its application
Frequently Asked Questions
1.How many questions are available for Trigonometric Ratios & Identities?
This chapter includes 13 questions compiled from NEST (NISER) papers spanning 2013 to 2026.
2.Are these questions only from NEST (NISER), or from other exams too?
These are NEST (NISER) 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 NEST (NISER) Mathematics?
Trigonometric Ratios & Identities has appeared in 9 of the 16 years of NEST (NISER) papers covered here, with 13 questions across 11 papers - about one per paper it appears in.
4.What is the difficulty level of Trigonometric Ratios & Identities questions in NEST (NISER)?
Of the 13 questions analysed for this chapter, 0% are easy, 62% moderate and 38% tough. 2024 had the most, with 3 questions.
5.Which topics in Trigonometric Ratios & Identities should I focus on?
These topics have carried the most weightage in Trigonometric Ratios & Identities:
- Sum and Difference & Multiple angle Formula - 4 questions (31%)
- Basic Identities & T Ratios - 3 questions (23%)
- Trigonometric Series - 2 questions (15%)
- Maximum and Minimum Values has produced the most tough questions (2).
6.Is Trigonometric Ratios & Identities's weightage in NEST (NISER) going up or down?
Across all 11 papers analysed, Trigonometric Ratios & Identities has averaged about 1.2 questions per paper. In the last three years (2024–2026), that average has fallen, at about 1.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.