What are the solutions of the equation sinxcotx=−2√2 on the interval [0,2π)?

sine(x)*cot(x)

sine(x)*cos(x)/sine(x)

cos(x) = -2sqrt(2). 

However, cos(x) must be in the range -1 to 1. 

I think there aren't any answers. 

=^._.^=

catmg is correct .....see   the graph here :  https://www.desmos.com/calculator/yyanrxdkr3