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Mathematics - Inverse Trigonometric Functions

Practise 102 AP 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 AP EAMCET tests.

Inverse Trigonometric Functions has been asked in 22 of the 24 years of AP EAMCET papers analysed (2001–2024), with 102 questions in all. 16% of them were easy, 68% moderate and 17% tough. Most of its questions came from 2024, with 10 questions that year. In the last three years (2022–2024) it had 12 questions across 28 papers, about 0.4 per paper.

The chapter's 9 topics are not weighted equally: Sum and difference of angles (25 questions, 25%), Inverse Trigonometric Functions (17 questions, 17%), and Converting one Inverse T function to other Inverse T (15 questions, 15%) have been asked the most. Over the last five years the most frequent topics have been Inverse Trigonometric Functions (17), Sum and difference of angles (11), and Converting one Inverse T function to other Inverse T (7). Multiple Angles has produced the most tough questions (4).

  1. 1The equation has27 May, 2025 (M)Sum and difference of angles
  2. 2If then27 May, 2025 (M)Inverse Trigonometric Functions
  3. 3If , then26 May, 2025 (M)Sum and difference of angles
  4. 4If , then26 May, 2025 (M)Inverse Trigonometric Functions
  5. 5If and exists , then26 May, 2025 (M)Inverse Trigonometric Functions
  6. 6Preview not available - open to view this question.26 May, 2025 (E)Sum and difference of angles
  7. 7Preview not available - open to view this question.26 May, 2025 (E)T inverse T property
  8. 8If and , then26 May, 2025 (E)Inverse Trigonometric Functions
  9. 9If and , then the derivative of with respect to is26 May, 2025 (E)Inverse Trigonometric Functions
  10. 10If and24 May, 2025 (M)Principal Value and Basics
  11. 11If , then24 May, 2025 (M)T inverse T property
  12. 12If and , then24 May, 2025 (M)Inverse Trigonometric Functions
  13. 13If , then at24 May, 2025 (M)Differentiation
  14. 14For24 May, 2025 (M)Inverse Trigonometric Functions
  15. 15The range of the real valued function is23 May, 2025 (M)Inverse Trigonometric Functions
  16. 16If the equation has two distinct real solutions, then all the values of k lie in the interval23 May, 2025 (M)T inverse T property
  17. 17Preview not available - open to view this question.23 May, 2025 (M)Inverse Trigonometric Functions
  18. 18If and , then23 May, 2025 (M)Inverse Trigonometric Functions
  19. 19The number of solutions of is23 May, 2025 (E)Inverse Trigonometric Functions
  20. 20Preview not available - open to view this question.23 May, 2025 (E)Inverse Trigonometric Functions
  21. 21If , then23 May, 2025 (E)Differentiation
  22. 22The interval in which the function is an increasing function, is23 May, 2025 (E)T inverse T property
  23. 23The range of the real valued function is22 May, 2025 (M)T inverse T property
  24. 24If then22 May, 2025 (E)Inverse Trigonometric Functions
  25. 25If and , then22 May, 2025 (E)Converting one Inverse T function to other Inverse T
  26. 26Preview not available - open to view this question.22 May, 2025 (E)Inverse Trigonometric Functions
  27. 27Preview not available - open to view this question.21 May, 2025 (M)Sum and difference of angles
  28. 28If , then21 May, 2025 (M)Inverse Trigonometric Functions
  29. 29If is a real number, then the number of solutions of21 May, 2025 (E)Inverse Trigonometric Functions
  30. 30If , then21 May, 2025 (E)Inverse Trigonometric Functions
  31. 31If and , then23 May, 2024 (M)Sum and difference of angles
  32. 32Preview not available - open to view this question.22 May, 2024 (E)Infinite Series
  33. 33If is an acute angle, and , then21 May, 2024 (M)Converting one Inverse T function to other Inverse T
  34. 34The real values of that satisfy the equation is21 May, 2024 (E)Sum and difference of angles
  35. 35Preview not available - open to view this question.21 May, 2024 (E)Sum and difference of angles
  36. 36If then20 May, 2024 (M)Sum and difference of angles
  37. 37Preview not available - open to view this question.20 May, 2024 (M)Sum and difference of angles
  38. 38If . then20 May, 2024 (E)Converting one Inverse T function to other Inverse T
  39. 39Preview not available - open to view this question.18 May, 2024 (M)Principal Value and Basics
  40. 40Preview not available - open to view this question.18 May, 2024 (M)Converting one Inverse T function to other Inverse T
  41. 41Preview not available - open to view this question.06 Jul, 2022 (E)Infinite Series
  42. 42Let and . Then05 Jul, 2022 (E)Principal Value and Basics
  43. 43What is the value of is equal to25 Aug, 2021 (E)Converting one Inverse T function to other Inverse T
  44. 44If , then is equal to24 Aug, 2021 (E)Converting one Inverse T function to other Inverse T
  45. 45If and , where and are positive integers such that , then is equal to23 Aug, 2021 (M)Sum and difference of angles
  46. 46If , then is equal to23 Aug, 2021 (E)T inverse T property
  47. 47If x = sin 2 tan - 1 2 , y = cos 2 tan - 1 3 , z = sec 3 tan - 1 4 then20 Aug, 2021 (M)Multiple Angles
  48. 48tan - 1 ( - 2 ) - tan - 1 ( 3 ) is equal to20 Aug, 2021 (E)Sum and difference of angles
  49. 49If tan - 1 1 1 + 1 . 2 + tan - 1 1 1 + 2 . 3 + + tan - 1 1 1 + n ( n + 1 ) = tan - 1 [ x ] , then x =19 Aug, 2021 (M)Infinite Series
  50. 50For how many distinct values of x , the equation sin 2 cos - 1 cot 2 tan - 1 x = 0 holds?19 Aug, 2021 (E)Converting one Inverse T function to other Inverse T

Frequently Asked Questions

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

This chapter includes 102 questions compiled from AP EAMCET papers spanning 2001 to 2025.

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

These are AP 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 AP EAMCET Mathematics?

Inverse Trigonometric Functions has appeared in 23 of the 25 years of AP EAMCET papers covered here, with 102 questions across 64 papers - about 2 per paper it appears in.

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

Of the 102 questions analysed for this chapter, 16% are easy, 68% moderate and 17% tough. 2024 had the most, with 10 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 - 25 questions (25%)
  • Inverse Trigonometric Functions - 17 questions (17%)
  • Converting one Inverse T function to other Inverse T - 15 questions (15%)
  • Multiple Angles has produced the most tough questions (4).
6.Is Inverse Trigonometric Functions's weightage in AP EAMCET going up or down?

Across all 64 papers analysed, Inverse Trigonometric Functions has averaged about 1.6 questions per paper. In the last three years (2022–2024), that average has fallen, at about 0.4 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.