Question

Find all solutions in the interval [0, 2π).

(sin x)(cos x) = 0

Answer 1

"(sin x)(cos x) "

you can make this a double angle in sin

or you can just go through and work out when either sinx= or cos x = 0, because the other is always -1 < < 1

do you have a preference?

Answer 2

I actually have a clue with this, but I just want to make sure I was correct.
I made sin x=0 and cos x=0, so my answers are 0, pi/2,pi, 3pi/2

Answer 3

what about \(2 \pi\)?