alleryStart learning →Which principal ranges sit around zero, and which run 0 to π?
Exercise and reference answers
- Items
- Item
- sin⁻¹ x
- Category
- Centred on 0 (−π/2 to π/2)
- Item
- cosec⁻¹ x
- Category
- Centred on 0 (−π/2 to π/2)
- Item
- tan⁻¹ x
- Category
- Centred on 0 (−π/2 to π/2)
- Item
- cos⁻¹ x
- Category
- Runs 0 to π
- Item
- sec⁻¹ x
- Category
- Runs 0 to π
- Item
- cot⁻¹ x
- Category
- Runs 0 to π
- Categories
- Item
- Centred on 0 (−π/2 to π/2)
- Item
- Runs 0 to π
Explanation
sin⁻¹, cosec⁻¹ and tan⁻¹ are centred on zero, running from −π/2 to π/2. cos⁻¹, sec⁻¹ and cot⁻¹ instead run from 0 to π. Source: syllabus Maths Part I, Ch 2 Inverse Trigonometric Functions.
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