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Mathematics - Inverse Trigonometric Functions

Practise 184 MHTCET previous year questions on Inverse Trigonometric Functions, 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.

Inverse Trigonometric Functions has been asked in 11 of the 17 years of MHTCET papers analysed (2007–2026), with 184 questions in all. 34% of them were easy, 57% moderate and 9% tough. Most of its questions came from 2026, with 34 questions that year. In the last three years (2024–2026) it had 101 questions across 59 papers, about 1.7 per paper.

The chapter's 7 topics are not weighted equally: Sum and difference of angles (55 questions, 30%), T inverse T property (46 questions, 25%), and Principal Value and Basics (39 questions, 21%) have been asked the most. Sum and difference of angles has also led over the last five years, with 47 questions. Sum and difference of angles has produced the most tough questions (4).

  1. 1If , then20 Apr, 2026 (E)Sum of complementary angles
  2. 2If then20 Apr, 2026 (E)Multiple Angles
  3. 3If then is a root of the equation19 Apr, 2026 (M)Principal Value and Basics
  4. 4Preview not available - open to view this question.19 Apr, 2026 (M)Principal Value and Basics
  5. 5The value of is equal to...19 Apr, 2026 (E)T inverse T property
  6. 6If , where , then18 Apr, 2026 (M)Sum and difference of angles
  7. 7If and then18 Apr, 2026 (M)Sum of complementary angles
  8. 8If , then is equal to...18 Apr, 2026 (M)Sum and difference of angles
  9. 9Let and . If , and , then the value of is18 Apr, 2026 (M)T inverse T property
  10. 10If , and , then which of the following is true?18 Apr, 2026 (M)Sum of complementary angles
  11. 11Preview not available - open to view this question.18 Apr, 2026 (E)T inverse T property
  12. 12If , where , then value of for is18 Apr, 2026 (E)Sum and difference of angles
  13. 13For , if then18 Apr, 2026 (E)Sum of complementary angles
  14. 14For and , if , then18 Apr, 2026 (E)Sum and difference of angles
  15. 15The value of17 Apr, 2026 (M)Multiple Angles
  16. 16Preview not available - open to view this question.17 Apr, 2026 (E)Principal Value and Basics
  17. 17Preview not available - open to view this question.17 Apr, 2026 (E)Multiple Angles
  18. 18If , then17 Apr, 2026 (E)Principal Value and Basics
  19. 19Preview not available - open to view this question.16 Apr, 2026 (M)Sum and difference of angles
  20. 20Preview not available - open to view this question.16 Apr, 2026 (M)Principal Value and Basics
  21. 21If , then16 Apr, 2026 (M)T inverse T property
  22. 22If , then the value of is equal to...16 Apr, 2026 (E)Sum of complementary angles
  23. 23The value of , where is...16 Apr, 2026 (E)Principal Value and Basics
  24. 24If , then15 Apr, 2026 (M)T inverse T property
  25. 25The value of is equal to15 Apr, 2026 (E)Principal Value and Basics
  26. 26If , then at is15 Apr, 2026 (E)T inverse T property
  27. 27The value of is13 Apr, 2026 (M)Principal Value and Basics
  28. 28If , where , then is equal to13 Apr, 2026 (M)T inverse T property
  29. 29The value of is equal to13 Apr, 2026 (E)Principal Value and Basics
  30. 30Let be a real-valued function defined on its domain. Then the sum of the greatest and the least values of is13 Apr, 2026 (E)Sum of complementary angles
  31. 31If upto terms, then13 Apr, 2026 (E)Sum and difference of angles
  32. 32If , then the value of is...11 Apr, 2026 (M)Sum and difference of angles
  33. 33The minimum value of is............11 Apr, 2026 (M)Sum of complementary angles
  34. 34If , then the value of is11 Apr, 2026 (E)Converting one Inverse T function to other Inverse T
  35. 35Preview not available - open to view this question.05 May, 2025 (E)Infinite Series
  36. 36The value of is05 May, 2025 (E)Multiple Angles
  37. 37If , then the absolute value of is26 Apr, 2025 (M)T inverse T property
  38. 38The number of positive integral solutions of are26 Apr, 2025 (M)T inverse T property
  39. 39If , then26 Apr, 2025 (M)T inverse T property
  40. 40If , then the value of is26 Apr, 2025 (E)T inverse T property
  41. 41Considering only the principal values of the inverse trigonometric functions, the value of is26 Apr, 2025 (E)Converting one Inverse T function to other Inverse T
  42. 42If then the value of is26 Apr, 2025 (E)Sum and difference of angles
  43. 43The principal value of is25 Apr, 2025 (M)T inverse T property
  44. 44If , then25 Apr, 2025 (E)T inverse T property
  45. 45If , then for the value of25 Apr, 2025 (E)Sum and difference of angles
  46. 46The value of is23 Apr, 2025 (M)T inverse T property
  47. 47If , then23 Apr, 2025 (E)T inverse T property
  48. 48If and , then at the value of is23 Apr, 2025 (E)T inverse T property
  49. 49If then the value of at is22 Apr, 2025 (M)T inverse T property
  50. 50Preview not available - open to view this question.22 Apr, 2025 (M)Principal Value and Basics

Frequently Asked Questions

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

This chapter includes 184 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 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 MHTCET Mathematics?

Inverse Trigonometric Functions has appeared in 11 of the 17 years of MHTCET papers covered here, with 184 questions across 94 papers - about 2 per paper it appears in.

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

Of the 184 questions analysed for this chapter, 34% are easy, 57% moderate and 9% tough. 2026 had the most, with 34 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 - 55 questions (30%)
  • T inverse T property - 46 questions (25%)
  • Principal Value and Basics - 39 questions (21%)
  • Sum and difference of angles has produced the most tough questions (4).
6.Is Inverse Trigonometric Functions's weightage in MHTCET going up or down?

Across all 94 papers analysed, Inverse Trigonometric Functions has averaged about 2.0 questions per paper. In the last three years (2024–2026), that average has stayed about the same, at about 1.7 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.