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Mathematics - Inverse Trigonometric Functions

Practise 87 TS EAMCET previous year questions on Inverse Trigonometric Functions, 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.

Inverse Trigonometric Functions has been asked in 22 of the 24 years of TS EAMCET papers analysed (2001–2024), with 87 questions in all. 26% of them were easy, 60% moderate and 14% tough. Most of its questions came from 2020, with 16 questions that year. In the last three years (2022–2024) it had 9 questions across 17 papers, about 0.5 per paper.

The chapter's 12 topics are not weighted equally: Sum and difference of angles (22 questions, 25%), Converting one Inverse T function to other Inverse T (15 questions, 17%), and Principal Value and Basics (15 questions, 17%) have been asked the most. Over the last five years the most frequent topics have been Inverse Trigonometric Functions (11), Principal Value and Basics (7), and T inverse T property (6). Sum and difference of angles has produced the most tough questions (5).

  1. 1Preview not available - open to view this question.04 May, 2025 (M)Inverse Trigonometric Functions
  2. 2The domain of the derivative of the function is04 May, 2025 (M)Inverse Trigonometric Functions
  3. 3If , then04 May, 2025 (M)Inverse Trigonometric Functions
  4. 4The number of real solutions of is04 May, 2025 (E)Inverse Trigonometric Functions
  5. 5Consider the following statements Statement-I: has no solution Statement-II: has only one solution The correct answer is04 May, 2025 (E)Inverse Trigonometric Functions
  6. 6Consider the following Assertion (A): Reason (R): The correct answer is04 May, 2025 (E)Inverse Trigonometric Functions
  7. 7If then the number of values of satisfying the equation is03 May, 2025 (M)Inverse Trigonometric Functions
  8. 8If then03 May, 2025 (M)T inverse T property
  9. 9The number of values of satisfying the equation03 May, 2025 (E)Inverse Trigonometric Functions
  10. 10If , then03 May, 2025 (E)Differentiation
  11. 11The range of the real valued function is02 May, 2025 (M)Range
  12. 12Preview not available - open to view this question.02 May, 2025 (M)Inverse Trigonometric Functions
  13. 13If then02 May, 2025 (M)Inverse Trigonometric Functions
  14. 14If , then02 May, 2025 (M)Differentiation of Inverse Trigonometric Functions
  15. 15Consider the following statements Assertion (A): When are positive numbers, then02 May, 2025 (E)Sum and difference of angles
  16. 16If , then02 May, 2025 (E)Inverse Trigonometric Functions
  17. 17Consider the following statements Assertion (A): For Reason (R): For The correct answer is02 May, 2025 (E)T inverse T property
  18. 18If , then11 May, 2024 (M)Sum and difference of angles
  19. 19Preview not available - open to view this question.11 May, 2024 (M)Multiple Angles
  20. 20If , then10 May, 2024 (M)T inverse T property
  21. 21If , then10 May, 2024 (M)T inverse T property
  22. 22The trigonometric equation , has a solution10 May, 2024 (E)Principal Value and Basics
  23. 23Preview not available - open to view this question.09 May, 2024 (M)Principal Value and Basics
  24. 24If , then09 May, 2024 (M)Negative and reciprocal Properties
  25. 25If and then09 May, 2024 (E)T inverse T property
  26. 26If then the value of at is (Given that )20 Jul, 2022 (E)T inverse T property
  27. 27is equal to06 Aug, 2021 (M)Principal Value and Basics
  28. 28Preview not available - open to view this question.06 Aug, 2021 (E)Principal Value and Basics
  29. 29If the range of is , then06 Aug, 2021 (E)Principal Value and Basics
  30. 30sin tan - 1 4 5 + tan - 1 4 3 + tan - 1 1 9 - tan - 1 1 7 =05 Aug, 2021 (M)Converting one Inverse T function to other Inverse T
  31. 31If f n = tan tan - 1 1 1 + 2 + tan - 1 1 1 + 6 + tan - 1 1 1 + 12 + . . . + tan - 1 1 1 + n ( n + 1 ) then f 2021 =05 Aug, 2021 (E)Infinite Series
  32. 32If sin - 1 x cos - 1 x , then04 Aug, 2021 (M)Sum of complementary angles
  33. 33cot h - 1 ( 2 ) + cosec h - 1 ( - 2 2 ) =04 Aug, 2021 (M)Principal Value and Basics
  34. 34If sin - 1 x 5 + cosec - 1 5 4 = 2 , then 5 + x =04 Aug, 2021 (E)Sum of complementary angles
  35. 35tan h - 1 1 3 + cot h - 1 2 =04 Aug, 2021 (E)Principal Value and Basics
  36. 36In if then14 Sep, 2020 (M)Sum and difference of angles
  37. 37If and then, the sum of the roots of the equation is14 Sep, 2020 (M)Converting one Inverse T function to other Inverse T
  38. 38If , then14 Sep, 2020 (E)Infinite Series
  39. 39The set of values of such that is14 Sep, 2020 (E)Sum and difference of angles
  40. 40The number of real roots of the equation that are greater than or equal to one are11 Sep, 2020 (M)Principal Value and Basics
  41. 41If , then11 Sep, 2020 (M)Sum of complementary angles
  42. 42For the least possible value of the solution of the equations and , is11 Sep, 2020 (E)Principal Value and Basics
  43. 43If , then11 Sep, 2020 (E)Converting one Inverse T function to other Inverse T
  44. 44If for , then11 Sep, 2020 (E)T inverse T property
  45. 45If , then10 Sep, 2020 (M)Converting one Inverse T function to other Inverse T
  46. 46If , then10 Sep, 2020 (E)Converting one Inverse T function to other Inverse T
  47. 47Match the items of List-I with those of the items of List-II List- I List- II A Range of sec - 1 1 + cos 2 x , [ ] denote greatest integer f09 Sep, 2020 (M)Principal Value and Basics
  48. 48Let Z denote the set of integers. Then match the items in list- I , with those of the items in List- II List- I List- II A sin - 1 2 2 3 + s09 Sep, 2020 (M)Principal Value and Basics
  49. 49sin h - 1 - 2 + cosec h - 1 - 2 + cot h - 1 - 2 =09 Sep, 2020 (M)Principal Value and Basics
  50. 50The set of values of such that defined by is onto is09 Sep, 2020 (E)Principal Value and Basics

Frequently Asked Questions

1.How many questions are available for Inverse Trigonometric Functions?

This chapter includes 87 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 Inverse Trigonometric Functions chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Inverse Trigonometric Functions an important chapter for TS EAMCET Mathematics?

Inverse Trigonometric Functions has appeared in 23 of the 25 years of TS EAMCET papers covered here, with 87 questions across 50 papers - about 2 per paper it appears in.

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

Of the 87 questions analysed for this chapter, 26% are easy, 60% moderate and 14% tough. 2020 had the most, with 16 questions.

5.Which topics in Inverse Trigonometric Functions should I focus on?

These topics have carried the most weightage in Inverse Trigonometric Functions:

  • Sum and difference of angles - 22 questions (25%)
  • Converting one Inverse T function to other Inverse T - 15 questions (17%)
  • Principal Value and Basics - 15 questions (17%)
  • Sum and difference of angles has produced the most tough questions (5).
6.Is Inverse Trigonometric Functions's weightage in TS EAMCET going up or down?

Across all 50 papers analysed, Inverse Trigonometric Functions has averaged about 1.7 questions per paper. In the last three years (2022–2024), that average has fallen, at about 0.5 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.