WORKSHEET ON SOLVING TRIGONOMETRIC EQUATIONS

Solve for x ∈ [0, 2π] giving your answer as exact values.

Problem 1 :

2 sin²x + sin x = 0

Solution

Problem 2 :

2 cos²x = cos x

Solution

Problem 3 :

2 cos²x + cos x - 1 = 0

Solution

Problem 4 :

2 sin²x + 3sinx + 1 = 0

Solution

Problem 5 :

sin²x = 2 - cos x

Solution

Problem 6 :

3 tan x = cot x

Solution

Problem 7 :

sin 4x = sin 2x

Solution

Problem 8 :

sin x + cos x = √2

Solution

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

Problem 1 :

cos x = 0

Solution

Problem 2 :

sin x = -1

Solution

Problem 3 :

tan x = -1

Solution

Problem 4 :

2 cos x - √3 = 0

Solution

Problem 5 :

2 sin x + √2 = 0

Solution

Problem 6 :

2 sin x - 1 = 0

Solution

Problem 7 :

cos θ - 1 = 0

Solution