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Domain check

Exercise and reference answers

Questions
  1. Question
    Domain of cos⁻¹ x
    Choices
    1. [−1, 1]
    2. R
    3. R − (−1, 1)
    Correct choice
    [−1, 1]
  2. Question
    Domain of sec⁻¹ x
    Choices
    1. [−1, 1]
    2. R − (−1, 1)
    3. R
    Correct choice
    R − (−1, 1)
  3. Question
    Domain of cot⁻¹ x
    Choices
    1. R − (−1, 1)
    2. [−1, 1]
    3. R
    Correct choice
    R
  4. Question
    Domain of cosec⁻¹ x
    Choices
    1. R − (−1, 1)
    2. R
    3. [−1, 1]
    Correct choice
    R − (−1, 1)
  5. Question
    Domain of tan⁻¹ x
    Choices
    1. [−1, 1]
    2. R
    3. R − (−1, 1)
    Correct choice
    R

Explanation

A value outside the domain has no inverse at all, which is where most sign and range slips begin. Source: syllabus Maths Part I, Ch 2 Inverse Trigonometric Functions.
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