Flip and pair: function with its principal range

Exercise and reference answers

Matching pairs

1. A

   sin⁻¹ x

   B

   [−π/2, π/2]

2. A

   cos⁻¹ x

   B

   [0, π]

3. A

   cosec⁻¹ x

   B

   [−π/2, π/2] − {0}

4. A

   sec⁻¹ x

   B

   [0, π] − {π/2}

5. A

   tan⁻¹ x

   B

   (−π/2, π/2)

6. A

   cot⁻¹ x

   B

   (0, π)

Explanation