Simplifying and Solving Trig Equations

sinx=0

• 0

• 30

• 45

• 90

Solve on the Interval [0,2π) 
   sinθ = -1   

• θ = π /2, 3π /2 

• θ = π /2

• θ = 3π /2

• θ = π  

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: 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
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

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

2 sinθ+3=2

• π/6,2π/3

• 7π/6 

• 7π/6, 11π/6