Hello, TrimHonduras!
We have: .
Factor: .
We have two equations to solve:
Another way of looking at it: obviously if cos(x)= 0 then both sides are 0 so cos(x)= 0 gives solutions. If cos(x) is NOT 0, we can divide by 2cos(x) to get so that csc(x)= 1 and csc(x)= -1 gives solutions.