2SINꝊ - 1 = 0 ...

Question

Solve for if 0° ≤ 𝜃 < 360

Answer 1

2sin(theta) - 1 = 0

sin(theta) = 1/2

theta = arcsin(1/2)

sin is positive in 1st and second quadrants.

sin(theta) is equal to 1/2 when the reference angle to the horizontal is 30 degrees.

theta = 30 and 150.

Answer 2

2sin(Θ)-1=0

2sin(Θ)=1

sin(Θ)=1/2

Arcsin(1/2)=Θ

Θ=30 degrees

Θ=150 degrees