Question

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

Answer 1

you could use the identity sin 2x = 2 sinx cosx

Answer 2

I haven't learned that identity.

Answer 3

either sin x=0=sin 2n pi
n=0,1,2
x=?
orcos x=0=cos(2n+1)pi/2
n=0,1
x=?

Answer 4

correction
sinx=0=sin n pi