Answer:
a) θ = 15° b) θ = 15°, 165°
Step-by-step explanation:
a) Given the equation 2 sin(2θ) = 1
sin(2θ) = 1/2
(2θ) = arcsin(1/2)
2θ = 30°
θ = 15°
b) To find all the solutions between 0 and 2π, we will make reference to the quadrant.
Sinθ is positive in the first and second quadrant.
In the first quadrant, θ = 15°
In the second quadrant, θ = 180°-15°
= 165°
The solutions between 0 and 2π are 15° and 165°
