Solving Multi-Step Trig Equations

Solve
cos²θ = ½ 
on θ∈[0, 2π)

• θ = π /4, 7π /4
• θ = π /4, 3π /4
• θ = 3π /4, 5π /4
• θ = π /4, 3π /4, 5π /4, 7π /4

2 sinθ+3=2

• π/6,2π/3
• 7π/6 
• 7π/6, 11π/6

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

• 0
• No solution
• π
• 3π/2

Solve on the domain [0, 2π)
1/2sec x - 1 = 0

• π/6, 5π/6
• π/3, 5π/3
• 2π/3, 4π/3
• 7π/6, 11π/6

Solve on the domain [0, 2π)
4sin²x = 3

• π/6, 11π/6
• π/3, 2π/3
• π/6, 5π/6, 7π/6, 11π/6
• π/3, 2π/3, 4π/3, 5π/3

Solve on the Interval [0,2π)
     tan(x) + 1 = 0     

• x = π/4, x = 5π/4
• x = π/4, x = 3π/4
• x = π/2
• x = 3π/4, x = 7π/4

• No solution

Solve: 2cscθ + 2 = 0

State all solutions in the interval [0, 2π)

• π/2, 3π/2

• π/2

• 3π /2

• π