NCERT/Class 12/Mathematics/Inverse Trigonometric Functions

Inverse Trigonometric Functions

Class 12 · Mathematics

93 questions33 easy31 medium29 hard

Sample Questions

Q1.The value of sin⁻¹(cos(π/9)) is:

  • Aπ/9
  • B7π/18
  • C5π/18
  • D2π/9

Q2.The simplified form of tan⁻¹(sin x / (1 + cos x)) is:

  • Ax
  • Bx/2
  • Cπ/2 – x/2
  • D2x

Q3.The value of cos(2 cos⁻¹(x) + sin⁻¹(x)) at x = 1/5 is:

  • A–√24/5
  • B√24/5
  • C1/5
  • D24/25

Q4.The value of sin⁻¹(1) + cos⁻¹(1) is:

  • Aπ
  • Bπ/2
  • C0
  • D2π

Q5.The principal value of cosec⁻¹(–√2) is:

  • Aπ/4
  • B–π/4
  • C3π/4
  • D5π/4

Q6.This is a sample question to preview what you'll get in the full practice test...

  • A. Option one
  • B. Option two
  • C. Option three
  • D. Option four
Create a test to practice all 93 questions →

Concepts Covered

Composition of trig and inverse trig functionsDomain and range of inverse trig functionsPrincipal value branchProperties of inverse trigonometric functionscos inversecosec inversecot inversesec inversesin inversetan inverse

Ready to practice?

Create a timed test from 93 questions in Inverse Trigonometric Functions. Pick your difficulty, get instant scores.

Start Practice Test