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Match each inverse function to its principal value branch

Exercise and reference answers

Matching pairs
  1. Left
    sin⁻¹ x
    Right
    [−π/2, π/2]
  2. Left
    cos⁻¹ x
    Right
    [0, π]
  3. Left
    cosec⁻¹ x
    Right
    [−π/2, π/2] − {0}

Explanation

The principal branch is the one interval on which the function is made one-one so the inverse is single valued. Source: syllabus Maths Part I, Ch 2 Inverse Trigonometric Functions.
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