Solving Trigonometric Equations 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
Solve 7sin θ = 0 for 0 ≤ θ < 2π. Give radians.
- Divide by 7.
- Find all unit-circle angles with the required coordinate equal to zero.
- Include 0 when valid; exclude 2π.
Answer: 0, π
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
Solve 4sin θ = 0 for 0 ≤ θ < 2π. Give radians.
2
Solve 7cos θ = 0 for 0 ≤ θ < 2π. Give radians.
3
Solve 6sin θ = 0 for 0 ≤ θ < 2π. Give radians.
4
Solve 5cos θ = 0 for 0 ≤ θ < 2π. Give radians.
5
Solve 8sin θ = 0 for 0 ≤ θ < 2π. Give radians.
6
Solve 9cos θ = 0 for 0 ≤ θ < 2π. Give radians.
Answer Key
1. 0, π2. π/2, 3π/23. 0, π4. π/2, 3π/25. 0, π6. π/2, 3π/2