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Mathematics - Trigonometric Equations

Practise 107 TS EAMCET previous year questions on Trigonometric Equations, compiled from papers spanning 2001 to 2025. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty TS EAMCET tests.

Trigonometric Equations has been asked in 21 of the 24 years of TS EAMCET papers analysed (2001–2024), with 107 questions in all. 39% of them were easy, 48% moderate and 13% tough. Most of its questions came from 2020, with 19 questions that year. In the last three years (2022–2024) it had 18 questions across 17 papers, about 1.1 per paper.

The chapter's 3 topics are not weighted equally: Solving Trigonometric Equation (88 questions, 82%), Basic (15 questions, 14%), and Solving Trigonometric Inequalities (4 questions, 4%) have been asked the most. Solving Trigonometric Equation has also led over the last five years, with 28 questions. Solving Trigonometric Equation has produced the most tough questions (12).

  1. 1Number of solutions of the equation lying in the interval is04 May, 2025 (M)Solving Trigonometric Equation
  2. 2If are real numbers and is a real root of then the value of for the least positive value of is04 May, 2025 (E)Basic
  3. 3Number of solutions of the equation lying in the interval is03 May, 2025 (M)Solving Trigonometric Equation
  4. 4If and then03 May, 2025 (E)Solving Trigonometric Equation
  5. 5If then the number of solutions of the equation is03 May, 2025 (E)Solving Trigonometric Equation
  6. 6are the roots of the equation . If then02 May, 2025 (M)Basic
  7. 7The general solution of the equation also satisfies the equation02 May, 2025 (M)Solving Trigonometric Equation
  8. 8The equation that is satisfied by the general solution of the equation is10 May, 2024 (M)Solving Trigonometric Equation
  9. 9If is the solution set of the equation and is the solution set of the equation where, then,10 May, 2024 (E)Solving Trigonometric Equation
  10. 10If , then10 May, 2024 (E)Solving Trigonometric Equation
  11. 11The number of solutions of the equation that lie in the interval is09 May, 2024 (M)Solving Trigonometric Equation
  12. 12If and then09 May, 2024 (E)Solving Trigonometric Equation
  13. 13The solution set of the equation is09 May, 2024 (E)Solving Trigonometric Inequalities
  14. 14If and are solutions of , then14 May, 2023 (M)Basic
  15. 15If and then14 May, 2023 (E)Solving Trigonometric Equation
  16. 16If , then13 May, 2023 (M)Solving Trigonometric Equation
  17. 17If , then13 May, 2023 (M)Solving Trigonometric Equation
  18. 18If , then20 Jul, 2022 (M)Solving Trigonometric Equation
  19. 19Assertion : . Reason : The graph of y = tan h x always lies between the lines y = –1 and y = 1. The correct option among the following is20 Jul, 2022 (E)Solving Trigonometric Equation
  20. 20If , then19 Jul, 2022 (M)Solving Trigonometric Equation
  21. 21If the minimum value of is , then19 Jul, 2022 (M)Solving Trigonometric Equation
  22. 22If does not lie in the second quadrant and , then19 Jul, 2022 (E)Basic
  23. 232 cosh x + y sinh x - y + sinh 2 y =18 Jul, 2022 (M)Solving Trigonometric Equation
  24. 24e 4 x + e - 4 x + 14 4 e x - e - x 2 =18 Jul, 2022 (E)Solving Trigonometric Equation
  25. 25If tan h x = 1 2 then sin h 2 x - sec h 2 x =18 Jul, 2022 (E)Solving Trigonometric Equation
  26. 26The common solution set of the equations and is06 Aug, 2021 (M)Solving Trigonometric Equation
  27. 27is equal to06 Aug, 2021 (E)Solving Trigonometric Equation
  28. 28If 6 cos 2 + 2 cos 2 2 + 2 sin 2 = 0 , - , then =05 Aug, 2021 (M)Solving Trigonometric Equation
  29. 29Let k 0 and t = sech - 1 1 2 - cosech - 1 3 k . If 3 e t = 2 + 3 , then k =05 Aug, 2021 (M)Solving Trigonometric Equation
  30. 30In a A B C , if C = 90 , a 2 + b 2 a 2 - b 2 sin ( A - B ) = 1 and 0 B 45 , then05 Aug, 2021 (E)Solving Trigonometric Equation
  31. 31If cos = - 1 2 and tan = 1 , then the general value of is04 Aug, 2021 (M)Solving Trigonometric Equation
  32. 32The value of 1 - cos 1 + cos 1 + cot 2 , when = 15 is04 Aug, 2021 (E)Solving Trigonometric Equation
  33. 33The number of solutions of the equation tan + sec = 2 cos and cos 0 lying in the interval 0 , 2 is04 Aug, 2021 (E)Solving Trigonometric Equation
  34. 34If the possible solution of the equation constitute two unequal angles of a triangle, then the third angle of that triangle is14 Sep, 2020 (M)Solving Trigonometric Equation
  35. 35If , then14 Sep, 2020 (M)Solving Trigonometric Equation
  36. 36If for some , then14 Sep, 2020 (E)Solving Trigonometric Equation
  37. 37If , then14 Sep, 2020 (E)Solving Trigonometric Equation
  38. 38Match the items of List-I to the items of List-II The correct match is14 Sep, 2020 (E)Solving Trigonometric Equation
  39. 39If , then14 Sep, 2020 (E)Solving Trigonometric Equation
  40. 40If , then14 Sep, 2020 (E)Solving Trigonometric Equation
  41. 41If and , then11 Sep, 2020 (M)Solving Trigonometric Equation
  42. 42If , then11 Sep, 2020 (M)Solving Trigonometric Equation
  43. 43If , then11 Sep, 2020 (M)Solving Trigonometric Inequalities
  44. 44Assertion (A) If and , then Reason (R) In a , The correct option among the following is10 Sep, 2020 (M)Solving Trigonometric Equation
  45. 45The solution set of the trigonometric equation is10 Sep, 2020 (M)Basic
  46. 46Assertion Reason (R) is a root of the quadratic equation The correct option among the following is10 Sep, 2020 (M)Solving Trigonometric Equation
  47. 47If , then a possible value of sec is10 Sep, 2020 (E)Solving Trigonometric Equation
  48. 48The general solution of the equation is10 Sep, 2020 (E)Solving Trigonometric Equation
  49. 49Preview not available - open to view this question.10 Sep, 2020 (E)Solving Trigonometric Equation
  50. 50The equation sin 4 x - k + 3 sin 2 x - k - 4 = 0 has a solution if09 Sep, 2020 (M)Solving Trigonometric Equation

Frequently Asked Questions

1.How many questions are available for Trigonometric Equations?

This chapter includes 107 questions compiled from TS EAMCET papers spanning 2001 to 2025.

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

These are TS EAMCET 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 TS EAMCET Mathematics?

Trigonometric Equations has appeared in 22 of the 25 years of TS EAMCET papers covered here, with 107 questions across 55 papers - about 2 per paper it appears in.

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

Of the 107 questions analysed for this chapter, 39% are easy, 48% moderate and 13% tough. 2020 had the most, with 19 questions.

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

These topics have carried the most weightage in Trigonometric Equations:

  • Solving Trigonometric Equation - 88 questions (82%)
  • Basic - 15 questions (14%)
  • Solving Trigonometric Inequalities - 4 questions (4%)
  • Solving Trigonometric Equation has produced the most tough questions (12).
6.Is Trigonometric Equations's weightage in TS EAMCET going up or down?

Across all 55 papers analysed, Trigonometric Equations has averaged about 1.9 questions per paper. In the last three years (2022–2024), that average has fallen, at about 1.1 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.