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Mathematics - Trigonometric Equations

Practise 113 MHTCET previous year questions on Trigonometric Equations, compiled from papers spanning 2016 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 MHTCET tests.

Trigonometric Equations has been asked in 11 of the 17 years of MHTCET papers analysed (2007–2026), with 113 questions in all. 40% of them were easy, 46% moderate and 14% tough. Most of its questions came from 2024, with 25 questions that year. In the last three years (2024–2026) it had 51 questions across 59 papers, about 0.9 per paper.

The chapter's 3 topics are not weighted equally: Solving Trigonometric Equation (71 questions, 63%), Basic (34 questions, 30%), and Solving Trigonometric Inequalities (8 questions, 7%) have been asked the most. Solving Trigonometric Equation has also led over the last five years, with 45 questions. Solving Trigonometric Equation has produced the most tough questions (10).

  1. 1The number of common solutions of the pair of equations and in the interval , is20 Apr, 2026 (M)Solving Trigonometric Equation
  2. 2The general solution of is or for then20 Apr, 2026 (M)Solving Trigonometric Equation
  3. 3Let satisfy the equation . If where , then find the number of possible values of is .....19 Apr, 2026 (M)Solving Trigonometric Equation
  4. 4If the equation and , then the number of solutions is...17 Apr, 2026 (M)Solving Trigonometric Equation
  5. 5If , then the number of values of for which is16 Apr, 2026 (M)Solving Trigonometric Equation
  6. 6The general solution of the equation is...16 Apr, 2026 (E)Solving Trigonometric Equation
  7. 7If and , then the general value of (where n is any integer) is...15 Apr, 2026 (M)Solving Trigonometric Equation
  8. 8If , then15 Apr, 2026 (E)Solving Trigonometric Equation
  9. 9The number of solutions in of the equation is13 Apr, 2026 (M)Solving Trigonometric Equation
  10. 10The general solution of is13 Apr, 2026 (E)Solving Trigonometric Equation
  11. 11The principal solutions of are...11 Apr, 2026 (M)Basic
  12. 12The general solution of is .....11 Apr, 2026 (E)Basic
  13. 13The general solutions of the equation are05 May, 2025 (E)Basic
  14. 14The number of values of in interval satisfying the equation is27 Apr, 2025 (E)Solving Trigonometric Equation
  15. 15If , then the value of is27 Apr, 2025 (E)Solving Trigonometric Equation
  16. 16If , then26 Apr, 2025 (M)Basic
  17. 17If and Then takes the value26 Apr, 2025 (E)Solving Trigonometric Equation
  18. 18If then25 Apr, 2025 (M)Basic
  19. 19The principal solution of are25 Apr, 2025 (M)Basic
  20. 20The number of values of in the interval satisfying the equation is25 Apr, 2025 (M)Solving Trigonometric Equation
  21. 21The common principal solution of the equations and is25 Apr, 2025 (E)Basic
  22. 22The number of values of in the interval satisfying the equation is23 Apr, 2025 (E)Solving Trigonometric Equation
  23. 23The number of solutions of in are22 Apr, 2025 (M)Solving Trigonometric Equation
  24. 24If , then the general solution of is21 Apr, 2025 (E)Basic
  25. 25If Then20 Apr, 2025 (M)Basic
  26. 26The possible values of such that are20 Apr, 2025 (E)Solving Trigonometric Equation
  27. 27The general solution of the equation is16 May, 2024 (M)Solving Trigonometric Equation
  28. 28Let and be two sets, then16 May, 2024 (M)Solving Trigonometric Inequalities
  29. 29The number of values of in the interval satisfying the equation16 May, 2024 (M)Solving Trigonometric Inequalities
  30. 30The number of integral values of k for which the equation has a solution, is15 May, 2024 (M)Solving Trigonometric Equation
  31. 31Let be three non-zero real numbers such that the equation , has two distinct real roots and with . Then the value of is15 May, 2024 (M)Solving Trigonometric Equation
  32. 32If the equation . has real solutions for , then lies in the interval15 May, 2024 (M)Solving Trigonometric Equation
  33. 33The solution set of the equation , in the interval is15 May, 2024 (E)Solving Trigonometric Inequalities
  34. 34In a triangle ABC , with usual notations, has the value15 May, 2024 (E)Solving Trigonometric Equation
  35. 35The general solution of is11 May, 2024 (E)Basic
  36. 36If for certain , then the general solution of, , is10 May, 2024 (M)Basic
  37. 37The numerical value of10 May, 2024 (M)Solving Trigonometric Equation
  38. 38If and , then equals09 May, 2024 (M)Solving Trigonometric Equation
  39. 39The general solution of is09 May, 2024 (M)Basic
  40. 40Let and ( is measured in radians). Then lies in the interval09 May, 2024 (E)Solving Trigonometric Inequalities
  41. 41The number of integral values of , for which the equation has a solution, is09 May, 2024 (E)Basic
  42. 42The smallest positive value of in degrees satisfying the equation is09 May, 2024 (E)Basic
  43. 43The Solution set of the equation in the interval is04 May, 2024 (E)Basic
  44. 44If and and , then04 May, 2024 (E)Solving Trigonometric Equation
  45. 45Let and . ( is measured in radians). The lies in the interval03 May, 2024 (M)Solving Trigonometric Inequalities
  46. 46If and are not odd multiples of then implies principal solution is03 May, 2024 (M)Basic
  47. 47The number of all values of in the interval satisfying the equation is03 May, 2024 (E)Solving Trigonometric Equation
  48. 48The value of at , where and , is02 May, 2024 (M)Solving Trigonometric Inequalities
  49. 49The length of the longest interval, in which the function is increasing, is02 May, 2024 (M)Solving Trigonometric Equation
  50. 50If , then the expression has the value02 May, 2024 (E)Solving Trigonometric Equation

Frequently Asked Questions

1.How many questions are available for Trigonometric Equations?

This chapter includes 113 questions compiled from MHTCET papers spanning 2016 to 2026.

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

These are MHTCET 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 MHTCET Mathematics?

Trigonometric Equations has appeared in 11 of the 17 years of MHTCET papers covered here, with 113 questions across 71 papers - about 2 per paper it appears in.

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

Of the 113 questions analysed for this chapter, 40% are easy, 46% moderate and 14% tough. 2024 had the most, with 25 questions.

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

These topics have carried the most weightage in Trigonometric Equations:

  • Solving Trigonometric Equation - 71 questions (63%)
  • Basic - 34 questions (30%)
  • Solving Trigonometric Inequalities - 8 questions (7%)
  • Solving Trigonometric Equation has produced the most tough questions (10).
6.Is Trigonometric Equations's weightage in MHTCET going up or down?

Across all 71 papers analysed, Trigonometric Equations has averaged about 1.6 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.9 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.