Question

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

(sin x)(cos x) = 0
Please don't just answer I just need help on how to start it.

Answer 1

Well, logically, the only way you can multiply and get zero is if one of the numbers involved in the multiplication is itself 0. So you can either have sinx = 0 or cosx = 0. So what are all the values in which either of those two situations occurs?

Answer 2

umm 0 is one pi/2

Answer 3

does are two right?

Answer 4

Yep, now two more.

Answer 5

pi and 3pi/2?

Answer 6

You got it :P

Answer 7

wow thanks that was kinda easy i guess thanks alot!

Answer 8

Yeah, that one wasn't as bad compared to others xD