Start learning →

Match each inverse function to its domain

Exercise and reference answers

Matching pairs
  1. Left
    sin⁻¹ x
    Right
    [−1, 1]
  2. Left
    cos⁻¹ x
    Right
    [−1, 1]
  3. Left
    cosec⁻¹ x
    Right
    R − (−1, 1)
  4. Left
    sec⁻¹ x
    Right
    R − (−1, 1)
  5. Left
    tan⁻¹ x
    Right
    R
  6. Left
    cot⁻¹ x
    Right
    R

Explanation

Domains split three ways: [−1, 1] for sin⁻¹ and cos⁻¹, R − (−1, 1) for cosec⁻¹ and sec⁻¹, and all of R for tan⁻¹ and cot⁻¹. Source: syllabus Maths Part I, Ch 2 Inverse Trigonometric Functions.
Continue learning with Quill →

Browse more Bihar Board Class 12 (Commerce) questions and exercises →