Match each inverse function to its domain

Exercise and reference answers

Matching pairs

Left
sin⁻¹ x
Right
[−1, 1]
Left
cos⁻¹ x
Right
[−1, 1]
Left
cosec⁻¹ x
Right
R − (−1, 1)

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.

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