solving trig equations

Question

how to find all solutions to 2sin(x)+sqrt(3)=0 The answer is A+Bkπ and C+Dkπ where k is any integer, 0<A<C<2π

Answer 1

corrected

B=D=2

A=4*pi/3

C=pi-A=-pi/3 same as C=5*pi/3

Answer 2

sin x = -√3 / 2, no look on the unit circle.