SOLVING TRIGONOMETRIC EQUATIONS WORKSHEET

Solve the equation on the interval 0 ≤ θ < 2π.

Problem 1 :

cos x = 0

Problem 2 :

sin x = -1

Problem 3 :

tan x = -1

Problem 4 :

2 cos x - √3 = 0

Problem 5 :

2 sin x + √2 = 0

Problem 6 :

2 sin x - 1 = 0

Problem 7 :

cos θ - 1 = 0

Answer Key

1) π/2 and 3π/2

2) 3π/2.

3) 3π/4 and 7π/4

4) π/6 and 11π/6

5) 5π/4 and 7π/4

6) π/6 and 5π/6

7) θ = 0