Inverse Trigonometric Functions Worksheets

Practice exact trigonometric values and identities with angle units and domains stated.

Before you begin

Use radians, the unit circle and exact special-angle values.

Worked example

Find the principal value of arcsin(√3/2) in radians.

  1. The range of arcsin is [−π/2, π/2].
  2. Choose the angle in that range with the given trig value.

Answer: π/3

Check your result using the method in the example before moving to the next question.

Choose your level

These sets use the same exercise types and number ranges across level labels. Choose a fresh set for additional practice.

  • Easy: Start with the preview and follow the worked example.
  • Medium: Practice the same exercise types with a fresh numbered set.
  • Hard: Use another set to practice explaining and checking your answers.

Questions and answer calculations checked on 2026-09-17. How we check worksheets. Free for personal and classroom use.

Preview and print an easy set

Try six questions below, or choose a full set at your level.

1
Find the principal value of arcsin(1/2) in radians.
2
Find the principal value of arccos(1/2) in radians.
3
Find the principal value of arcsin(√2/2) in radians.
4
Find the principal value of arccos(√2/2) in radians.
5
Find the principal value of arcsin(1) in radians.
6
Find the principal value of arccos(0) in radians.

Answer Key

1. π/62. π/33. π/44. π/45. π/26. π/2

Full worksheet sets