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Mathematics - Inverse Trigonometric Functions

Practise 16 WBJEE previous year questions on Inverse Trigonometric Functions, compiled from papers spanning 2009 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 WBJEE tests.

Inverse Trigonometric Functions has been asked in 11 of the 18 years of WBJEE papers analysed (2009–2026), with 16 questions in all. 25% of them were easy, 69% moderate and 6% tough. Most of its questions came from 2026, with 4 questions that year. In the last three years (2024–2026) it had 7 questions across 3 papers, about 2.3 per paper.

The chapter's 3 topics are not weighted equally: Sum and difference of angles (9 questions, 56%), Principal Value and Basics (5 questions, 31%), and Converting one Inverse T function to other Inverse T (2 questions, 13%) have been asked the most. Sum and difference of angles has also led over the last five years, with 4 questions. Sum and difference of angles has produced the most tough questions (1).

  1. 1The true set of values of 'K' for which may have a solution is2026Principal Value and Basics
  2. 2If for two real numbers with and , , then the value of is2026Sum and difference of angles
  3. 3Let , where and is defined from onto . Then the value of is equal to2026Sum and difference of angles
  4. 4If , then for2026Converting one Inverse T function to other Inverse T
  5. 5If , then is equal to2025Sum and difference of angles
  6. 6The number of solutions of is2025Sum and difference of angles
  7. 7If , then2024Principal Value and Basics
  8. 8If then is equal to2018Sum and difference of angles
  9. 9The possible values of , which satisfy the trigonometric equation are2017Sum and difference of angles
  10. 10If where then the value of is2015Principal Value and Basics
  11. 11The value of is2015Sum and difference of angles
  12. 12If then the value of is2014Converting one Inverse T function to other Inverse T
  13. 13If then the value of is equal to2012Principal Value and Basics
  14. 14The solutions set of inequation \( ^{-1} x < ^{-1} x\) is2011Principal Value and Basics
  15. 15Value of is2010Sum and difference of angles
  16. 16A positive acute angle is divided into two parts whose tangents are and . Then the angle is2009Sum and difference of angles

Frequently Asked Questions

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

This chapter includes 16 questions compiled from WBJEE papers spanning 2009 to 2026.

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

These are WBJEE 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 WBJEE Mathematics?

Inverse Trigonometric Functions has appeared in 11 of the 18 years of WBJEE papers covered here, with 16 questions across 11 papers - about one per paper it appears in.

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

Of the 16 questions analysed for this chapter, 25% are easy, 69% moderate and 6% tough. 2026 had the most, with 4 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 - 9 questions (56%)
  • Principal Value and Basics - 5 questions (31%)
  • Converting one Inverse T function to other Inverse T - 2 questions (13%)
  • Sum and difference of angles has produced the most tough questions (1).
6.Is Inverse Trigonometric Functions's weightage in WBJEE going up or down?

Across all 11 papers analysed, Inverse Trigonometric Functions has averaged about 1.5 questions per paper. In the last three years (2024–2026), that average has risen, at about 2.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.