True or false: reading the table

Exercise and reference answers

Questions

1. Statement is true

   Yes

   Statement

   The principal range of cos⁻¹ is [0, π].

2. Statement is true

   No

   Statement

   The principal range of tan⁻¹ is a closed interval.

3. Statement is true

   Yes

   Statement

   cot⁻¹ has domain R and principal range (0, π).

4. Statement is true

   Yes

   Statement

   sec⁻¹ has π/2 removed from its principal range.

5. Statement is true

   No

   Statement

   cosec⁻¹ has π/2 removed from its principal range.

6. Statement is true

   Yes

   Statement

   cosec⁻¹ and sec⁻¹ share the domain R − (−1, 1).

Explanation