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Mathematics - Inverse Trigonometric Functions

Practise 17 VITEEE previous year questions on Inverse Trigonometric Functions, compiled from papers spanning 2006 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty VITEEE tests.

Inverse Trigonometric Functions has been asked in 12 of the 18 years of VITEEE papers analysed (2006–2024), with 17 questions in all. 35% of them were easy, 53% moderate and 12% tough. Most of its questions came from 2023, with 2 questions that year. In the last three years (2022–2024) it had 5 questions across 3 papers, about 1.7 per paper.

The chapter's 3 topics are not weighted equally: Converting one Inverse T function to other Inverse T (7 questions, 41%), Principal Value and Basics (5 questions, 29%), and T inverse T property (5 questions, 29%) have been asked the most. Converting one Inverse T function to other Inverse T has also led over the last five years, with 3 questions. Converting one Inverse T function to other Inverse T has produced the most tough questions (1).

  1. 1The Value of is2024Principal Value and Basics
  2. 2The value of \( ( ^{-1} ( ( ^{-1} x ) ) .\) is2023Converting one Inverse T function to other Inverse T
  3. 3The equation \( ^{-1} {5}{x}+ ^{-1} {12}{x}= { }{2}\) has2023Principal Value and Basics
  4. 4If \( ( ^{-1}(1+ {x}) )= ( ^{-1} {x} )\), then \( {x}=\)2022Converting one Inverse T function to other Inverse T
  5. 5If \( ^{-1} ( {2 }{1+ ^2} )+ ^{-1} ( {2 }{1+ ^2} )=2 ^{-1} x {, }\) then \( {x}=\)2022Converting one Inverse T function to other Inverse T
  6. 6The value of is equal to2021Principal Value and Basics
  7. 7The principal value of is2018Principal Value and Basics
  8. 8holds if2017Principal Value and Basics
  9. 9The value of is2017Converting one Inverse T function to other Inverse T
  10. 10The value of is equal to2016T inverse T property
  11. 11The value of is2016Converting one Inverse T function to other Inverse T
  12. 12The value of ) is2013T inverse T property
  13. 13If , then the value of is2012T inverse T property
  14. 14equals2009Converting one Inverse T function to other Inverse T
  15. 15The equation of a directrix of the ellipse is2007Converting one Inverse T function to other Inverse T
  16. 16If is a poisson variate such that then is equal to2007T inverse T property
  17. 17If , then the value of is2006T inverse T property

Frequently Asked Questions

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

This chapter includes 17 questions compiled from VITEEE papers spanning 2006 to 2024.

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

These are VITEEE 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 VITEEE Mathematics?

Inverse Trigonometric Functions has appeared in 12 of the 18 years of VITEEE papers covered here, with 17 questions across 12 papers - about one per paper it appears in.

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

Of the 17 questions analysed for this chapter, 35% are easy, 53% moderate and 12% tough. 2023 had the most, with 2 questions.

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

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

  • Converting one Inverse T function to other Inverse T - 7 questions (41%)
  • Principal Value and Basics - 5 questions (29%)
  • T inverse T property - 5 questions (29%)
  • Converting one Inverse T function to other Inverse T has produced the most tough questions (1).
6.Is Inverse Trigonometric Functions's weightage in VITEEE going up or down?

Across all 12 papers analysed, Inverse Trigonometric Functions has averaged about 1.4 questions per paper. In the last three years (2022–2024), that average has risen, 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.