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Mathematics - Inverse Trigonometric Functions

Practise 42 KCET previous year questions on Inverse Trigonometric Functions, compiled from papers spanning 2007 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 KCET tests.

Inverse Trigonometric Functions has been asked in 19 of the 20 years of KCET papers analysed (2007–2026), with 42 questions in all. 33% of them were easy, 38% moderate and 29% tough. Most of its questions came from 2016, 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 8 topics are not weighted equally: Principal Value and Basics (9 questions, 21%), Sum of complementary angles (8 questions, 19%), and T inverse T property (7 questions, 17%) 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 (2). Converting one Inverse T function to other Inverse T has produced the most tough questions (3).

  1. 1If , then is equal to2026Sum of complementary angles
  2. 2Preview not available - open to view this question.2026Infinite Series
  3. 3The second order derivative of with respect to , where is2026T inverse T property
  4. 4Preview not available - open to view this question.2025Converting one Inverse T function to other Inverse T
  5. 5is valid for all values of ' ' satisfying2025T inverse T property
  6. 6If , then equals to2024Sum and difference of angles
  7. 7If , then is equal to2024Sum and difference of angles
  8. 8If where , then the value of is2023Converting one Inverse T function to other Inverse T
  9. 9The value of , where is2023T inverse T property
  10. 10is equal to2021Principal Value and Basics
  11. 11is equal to2021Principal Value and Basics
  12. 12Let be the function defined , then the ranges of is2020Principal Value and Basics
  13. 13\( [2 ^{-1} {3}{4}+ ^{-1} {3}{4} ] \)2019T inverse T property
  14. 14If \( a+ { }{2} < 2 ^{-1} x+3 ^{-1} x < b \) then ' \( a \) ' and 'b' are respectively.2019Sum of complementary angles
  15. 15If \( ^{-1} x+ ^{-1} y= {2 }{5} \), then \( ^{-1} x+ ^{-1} y \) is2018Sum of complementary angles
  16. 16The value of the expression \( ( {1}{2} ^{-1} {2}{ {5}} ) \) is2018T inverse T property
  17. 17The range of \( ^{-1} \) is2017Principal Value and Basics
  18. 18The shaded region in the figure is the solution set of the inequations2017Sum of complementary angles
  19. 19The value of \( ^{-1} ( {53 }{5} ) \) is2016T inverse T property
  20. 20If \( 3 ^{-1} x+ ^{-1}= \) then \( x \) equal to2016Sum of complementary angles
  21. 21The simplified form of \( ^{-1} ( {x}{y} )- ^{-1} ( {x-y}{x+y} ) \) is equal to2016Sum and difference of angles
  22. 22If \( ^{-1} x+ ^{-1} y= { }{2} \), then \( x^{2} \) is equal to2016Sum of complementary angles
  23. 23If \( y=f (x^{2}+2 ) \) and \( f^{ }(3)=5 . \) then \( {d y}{d x} \) at \( x=1 \) is2015Sum of complementary angles
  24. 24If \( y= ( {1-x^{2}}{1+x^{2}} ) \), then \( {d y}{d x} \) is equal to2015Sum and difference of angles
  25. 25\( _{- / 4}^{ {II } / 4} {d x}{1+ 2 x} \) is equal to2015Multiple Angles
  26. 26The solution of differential equation \[ x {d y}{d x}+2 y=x^{2} { is } \]2015Principal Value and Basics
  27. 27Area of the region bounded by two parabolas \( y=x^{2} \) and \( x=y^{2} \) is2014Converting one Inverse T function to other Inverse T
  28. 28The order and degree of the differential equation \( y=x {d y}{d x}+ {2}{ {d y}{d x}} \) is2014Multiple Angles
  29. 29is euqal to2013Converting one Inverse T function to other Inverse T
  30. 30The value of (where, ) is2013Sum and difference of angles
  31. 31is valid for all values of satisfying2012Principal Value and Basics
  32. 32The number of real solutions of the equation is2012Principal Value and Basics
  33. 33If terms, then is2012Infinite Series
  34. 34The domain of is2011Principal Value and Basics
  35. 35If , then is2011T inverse T property
  36. 36If , then is2010Converting one Inverse T function to other Inverse T
  37. 37If then is2010Sum of complementary angles
  38. 38upto is equal to2009Infinite Series
  39. 39If ' ' takes negative permissible value, then is equal to2009Negative and reciprocal Properties
  40. 40is equal to2008Multiple Angles
  41. 41The solution of is2007Principal Value and Basics
  42. 42The value of is2007Converting one Inverse T function to other Inverse T

Frequently Asked Questions

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

This chapter includes 42 questions compiled from KCET papers spanning 2007 to 2026.

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

These are KCET 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 KCET Mathematics?

Inverse Trigonometric Functions has appeared in 19 of the 20 years of KCET papers covered here, with 42 questions across 19 papers - about 2 per paper it appears in.

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

Of the 42 questions analysed for this chapter, 33% are easy, 38% moderate and 29% tough. 2016 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:

  • Principal Value and Basics - 9 questions (21%)
  • Sum of complementary angles - 8 questions (19%)
  • T inverse T property - 7 questions (17%)
  • Converting one Inverse T function to other Inverse T has produced the most tough questions (3).
6.Is Inverse Trigonometric Functions's weightage in KCET going up or down?

Across all 19 papers analysed, Inverse Trigonometric Functions has averaged about 2.2 questions per paper. In the last three years (2024–2026), that average has stayed about the same, 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.