Question

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

(sin x)(cos x) = 0

Answer 1

set each factor equal to 0 and solve each equation.

Answer 2

would the solution include 0?

Answer 3

yes. but not 2 pi

Answer 4

would it be 0, 3pi/2?

Answer 5

sin x = 0 if x is 0 or pi
cos x = 0 if x is pi/2 or 3pi/2

Answer 6

0,pi/2,pi, 3pi/2? All 4?

Answer 7

yes

Answer 8

awesome, thanks!

Answer 9

yw