Question

Find all solutions in the interval [0, 2π).
(sin x)(cos x) = 0

Answer 1

this equation will be equal 0 when sinx=0 or cosx=0 or bouth of them equal zero. So, in the given interval sin x is=0 at {0,Pi}. And cosx=0 at {Pi/2,3Pi/2}. It means that solutions are the set {0,Pi} U {Pi/2,3Pi/2}.

Answer 2

Thanks (:

Answer 3

yw