Solving Trigonometric Equations Algebraically

Solve on the domain [0,2π)
cos x + 1 = 0

• 0

• No solution

• π

• 3π/2

Given 0 ≤ x ≤ 2π. Which of the following is/are the solution/s of 3 sec x = -2/√3?

• 5π/6

• 3π/4

• π/3, 5π/6

• π/3, 2π/3

Solve sin x + cos x = 0 from 0 to 2π.

• 2π/3

• 3π/4

• 5π/6

• 2π

Which of the following is a solution of the equation

√3 sec θ = 2

• -π/3

• π/6

• π/4

• π

Solve sinθ = -1 on θ∈[0, 2π)

• θ = π /2, 3π /2 

• θ = π /2

• θ = 3π /2

• θ = π  

Solve sinθ = ½ on θ∈[0, 2π)

• θ = π / 6,  7π / 6

• θ = π / 6,  5π / 6

• θ = 5π / 6,  7π / 6

• θ = 7π / 6,  11π / 6

Solve on the interval [0,360)
2cosx-1=0

• 60,120

• 60, 240

• 120, 240

• 60, 300

Solve for 0≤x≤2π

2cos²x + cosx = 0

• π/2, 3π/2

• 0, π,2π

• 2π/3, 4π/3

• π/3, 5π/3

Solve for 0≤x≤2π

4cos²x - 2 = 0

• π/3, 5π/3

• π/4, 7π/4

• 3π/4, 5π/4

• π/6, 11π/6

Solve for 0≤x≤2π

2sin²x - 5sinx + 2 = 0

• π/6, 5π/6

• 7π/6, 11π/6

• π/3, 2π/3

• 4π/3, 5π/3