solutions to the equation

Question

Find all solutions to the equation below for 0≥a≥2pi. 

2sin(a)=1

Answer 1

2*sin(a) = 1 gives sin(a) = ½

 

sin(a) is positive in quadrants I & II

 

sin ^-1 (½) = 30°

 

So our two angles are then:  a = 30° and a = (pi - 30°) = 150°