Solving Trig Equations

Solve: 4sin²x = 3 State all solutions in the interval [0, 2π)

• 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: 4sinθ + 1 = 3

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

• π/ 6, 7π/6

• π/6, 5π/ 6

• 5π/6, 7π/6

• 7π/6, 11π/6

Solve: 2cscθ + 2 = 0

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

• π/2, 3π/2

• π/2

• 3π /2

• π

Solve on the domain [0, 2π)
2sin x cos x = √2 cos x

• π/2, 3π/2

• 0, π/4, 3π/4

• π/2, 3π/2, π/4, 3π/4

• No solution

Which of the following is NOT
a solution to
sin θ = √(3) / 2 ?

• π / 3

• 2π / 3

• 5π / 3

• 7π / 3

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)
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