Solve the equation for the answer over the interval [0∘, 360∘) csc(x−π3)=2

Answer 1

start by substituting a for (x-pi/3)

csc a = 2 so sin a =1/2 = pi/6 and 5pi/6

now solve for x

pi/6= x-pi/3 x=pi/2

5pi/6 = x-pi/3 x=7pi/6