Jump to a section

Mathematics - Trigonometric Equations

Practise 23 NDA previous year questions on Trigonometric Equations, compiled from papers spanning 2010 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 NDA tests.

Trigonometric Equations has been asked in 12 of the 21 years of NDA papers analysed (2006–2026), with 23 questions in all. 4% of them were easy, 91% moderate and 4% tough. Most of its questions came from 2025, with 4 questions that year. In the last three years (2024–2026) it had 8 questions across 5 papers, about 1.6 per paper.

The chapter's 2 topics are not weighted equally: Solving Trigonometric Equation (12 questions, 52%) and Basic (11 questions, 48%) have been asked the most. Solving Trigonometric Equation has also led over the last five years, with 5 questions. Solving Trigonometric Equation has produced the most tough questions (1).

  1. 1What is the smallest positive satisfying ?2026 (Phase 1)Solving Trigonometric Equation
  2. 2For the following two (02) items: Let and , where (x + y)$ have?2025 (Phase 2)Basic
  3. 3For the following two (02) items: Let and , where (y - x)$ have?2025 (Phase 2)Basic
  4. 4How many values of , where , satisfy both the equations and simultaneously?2025 (Phase 2)Solving Trigonometric Equation
  5. 5If , then what is the number of values of satisfying the equation ?2025 (Phase 2)Solving Trigonometric Equation
  6. 6What is the number of solutions of where ?2024 (Phase 1)Solving Trigonometric Equation
  7. 7What is the number of solutions of the equation for2024 (Phase 2)Solving Trigonometric Equation
  8. 8What is the general solution of ? where is an integer.2024 (Phase 2)Basic
  9. 9If ; then what is the value of2023 (Phase 2)Basic
  10. 10If where , then how many values does take?2022 (Phase 2)Basic
  11. 11The value of , satisfying the equation , where , is2021 (Phase 1)Basic
  12. 12The number of integer values of , for which the equation has a solution, is2021 (Phase 1)Basic
  13. 13Let , where . What is equal to?2021 (Phase 2)Basic
  14. 14is an angle in the fourth quadrant. If satisfies the trigonometric equation . Which one of the following is a value of ?2018 (Phase 2)Solving Trigonometric Equation
  15. 15What is/are the solutions of the trigonometric equation , where ?2018 (Phase 2)Solving Trigonometric Equation
  16. 16Consider the equation: If the equation possesses solution, then what is the minimum value of k ?2016 (Phase 1)Solving Trigonometric Equation
  17. 17Consider the equation: If the equation possesses solution, then what is the maximum value of k ?2016 (Phase 1)Solving Trigonometric Equation
  18. 18The complete solution of is given by:2014 (Phase 1)Basic
  19. 19Which one of the following is one of the solutions of the equation ?2014 (Phase 2)Basic
  20. 20If , where , how many values does take?2012 (Phase 2)Basic
  21. 21If , then what is equal to?2011 (Phase 2)Solving Trigonometric Equation
  22. 22The equation will have at least one real solution if2011 (Phase 2)Solving Trigonometric Equation
  23. 23The angle A lies in the third quadrant and it satisfies the equation . What is the measure of the angle A ?2010 (Phase 1)Solving Trigonometric Equation

Frequently Asked Questions

1.How many questions are available for Trigonometric Equations?

This chapter includes 23 questions compiled from NDA papers spanning 2010 to 2026.

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

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

3.Is Trigonometric Equations an important chapter for NDA Mathematics?

Trigonometric Equations has appeared in 12 of the 17 years of NDA papers covered here, with 23 questions across 15 papers - about 2 per paper it appears in.

4.What is the difficulty level of Trigonometric Equations questions in NDA?

Of the 23 questions analysed for this chapter, 4% are easy, 91% moderate and 4% tough. 2025 had the most, with 4 questions.

5.Which topics in Trigonometric Equations should I focus on?

These topics have carried the most weightage in Trigonometric Equations:

  • Solving Trigonometric Equation - 12 questions (52%)
  • Basic - 11 questions (48%)
  • Solving Trigonometric Equation has produced the most tough questions (1).
6.Is Trigonometric Equations's weightage in NDA going up or down?

Across all 15 papers analysed, Trigonometric Equations has averaged about 1.5 questions per paper. In the last three years (2024–2026), that average has stayed about the same, at about 1.6 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.