Domain check
Exercise and reference answers
- Questions
- Question
- Domain of cos⁻¹ x
- Choices
- [−1, 1]
- R
- R − (−1, 1)
- Correct choice
- [−1, 1]
- Question
- Domain of sec⁻¹ x
- Choices
- [−1, 1]
- R − (−1, 1)
- R
- Correct choice
- R − (−1, 1)
- Question
- Domain of cot⁻¹ x
- Choices
- R − (−1, 1)
- [−1, 1]
- R
- Correct choice
- R
- Question
- Domain of cosec⁻¹ x
- Choices
- R − (−1, 1)
- R
- [−1, 1]
- Correct choice
- R − (−1, 1)
- Question
- Domain of tan⁻¹ x
- Choices
- [−1, 1]
- R
- 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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