Complete the summary table

Exercise and reference answers

Missing parts

1. Answer

   [−1, 1]

   Choices

   1. [−1, 1]
   2. R
   3. R − (−1, 1)

2. Answer

   [−π/2, π/2]

   Choices

   1. [−π/2, π/2]
   2. [0, π]
   3. (0, π)

3. Answer

   [0, π]

   Choices

   1. [−π/2, π/2]
   2. [0, π]
   3. (−π/2, π/2)

4. Answer

   R

   Choices

   1. [−1, 1]
   2. R
   3. R − (−1, 1)

5. Answer

   (−π/2, π/2)

   Choices

   1. (−π/2, π/2)
   2. (0, π)
   3. [0, π] − {π/2}

Complete the statement

sin⁻¹ maps {0} onto {1}, while cos⁻¹ maps the same domain onto {2}. tan⁻¹ takes {3} onto {4}.

Explanation