Solve trignometric equation

Question

csc(2x)=-2 by steps?

Answer 1

csc(2x) = -2

1/sin(2x) = -2

sin(2x) = -1/2

sin(2x) = sin(-π/6)

The general solution is

2x = nπ+(-1)^n(-π/6)

x = (nπ/2)-(-1)^n(π/12)