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Mathematics - Inverse Trigonometric Functions

Practise 30 Manipal (MET) previous year questions on Inverse Trigonometric Functions, compiled from papers spanning 2010 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 Manipal (MET) tests.

Inverse Trigonometric Functions has been asked in 12 of the 15 years of Manipal (MET) papers analysed (2010–2024), with 30 questions in all. 50% of them were easy, 47% moderate and 3% tough. Most of its questions came from 2014, with 4 questions that year. In the last three years (2022–2024) it had 1 question across 1 paper, about 1 per paper.

The chapter's 5 topics are not weighted equally: Sum and difference of angles (11 questions, 37%), T inverse T property (9 questions, 30%), and Converting one Inverse T function to other Inverse T (6 questions, 20%) have been asked the most. Over the last five years the most frequent topics have been T inverse T property (3), Converting one Inverse T function to other Inverse T (2), and Sum and difference of angles (1). Sum and difference of angles has produced the most tough questions (1).

  1. 1If , then2024Converting one Inverse T function to other Inverse T
  2. 2is equal to2021T inverse T property
  3. 3If , then the value of is2021Sum and difference of angles
  4. 4The value of is equal to2020T inverse T property
  5. 5If , then value of will be2020Converting one Inverse T function to other Inverse T
  6. 6The value of is2020T inverse T property
  7. 7If , then is equal to2019Sum and difference of angles
  8. 8is equal to2019Principal Value and Basics
  9. 9Preview not available - open to view this question.2018Sum and difference of angles
  10. 10If , then is equal to2018T inverse T property
  11. 11is equal to2018Sum and difference of angles
  12. 12If , then is equal to2017T inverse T property
  13. 13If , then the value of is2017Converting one Inverse T function to other Inverse T
  14. 14, then the value of is equal to2017Converting one Inverse T function to other Inverse T
  15. 15If , then the smallest interval in which lies is2016Converting one Inverse T function to other Inverse T
  16. 16If , then the value of is2016Multiple Angles
  17. 17If , then is equal to2016Principal Value and Basics
  18. 18The value of is2015Sum and difference of angles
  19. 19If , then is equal to2015Sum and difference of angles
  20. 20If , then is equal to2015T inverse T property
  21. 21If , then is equal to2014Sum and difference of angles
  22. 22is equal to2014Sum and difference of angles
  23. 23is equal to2014Sum and difference of angles
  24. 24If , then the value of will be2014Sum and difference of angles
  25. 25The value of is2013T inverse T property
  26. 26The interval for which is independent of is2013T inverse T property
  27. 27The number of solutions of the equation is2011T inverse T property
  28. 28The value of is2011Principal Value and Basics
  29. 29is equal to2010Converting one Inverse T function to other Inverse T
  30. 30The value of is2010Sum and difference of angles

Frequently Asked Questions

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

This chapter includes 30 questions compiled from Manipal (MET) papers spanning 2010 to 2024.

2.Are these questions only from Manipal (MET), or from other exams too?

These are Manipal (MET) 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 Manipal (MET) Mathematics?

Inverse Trigonometric Functions has appeared in 12 of the 15 years of Manipal (MET) papers covered here, with 30 questions across 12 papers - about 3 per paper it appears in.

4.What is the difficulty level of Inverse Trigonometric Functions questions in Manipal (MET)?

Of the 30 questions analysed for this chapter, 50% are easy, 47% moderate and 3% tough. 2014 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 - 11 questions (37%)
  • T inverse T property - 9 questions (30%)
  • Converting one Inverse T function to other Inverse T - 6 questions (20%)
  • Sum and difference of angles has produced the most tough questions (1).
6.Is Inverse Trigonometric Functions's weightage in Manipal (MET) going up or down?

Across all 12 papers analysed, Inverse Trigonometric Functions has averaged about 2.5 questions per paper. In the last three years (2022–2024), that average has fallen, at about 1.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.