Question

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

(sin x)(cos x) = 0

Answer 1

Set each factor equal to 0.

sin x = 0 OR cos x = 0

sin x = 0
x = 0, pi


cos x = 0
x = pi/2 and 3pi/2

so 4 solutions in total for that interval [0,2 pi).

Answer 2

You're welcome.

Answer 3

thank you!