Question

Find all solutions to the equation.

(sin x)(cos x) = 0

Answer 1

@zordoloom Can you help me?

Answer 2

Sure, would you know how to start?

Answer 3

No :/

Answer 4

Alright, so start by splitting it into 2 equations.

Answer 5

sinx= o
cosx=0

Answer 6

sinx=0
cosx=0
Now solve each equation, would you know how to proceed from here?

Answer 7

sinx=0 at 0 and pi
cosx=0 at pi/2 and 3pi/2

Answer 8

That's all I know

Answer 9

Alright, do you know what the unit circle is?

Answer 10

Yes

Answer 11

Oh, I didn't see the reply above. So that would be the answer. But, normally it is written a little differently.

Answer 12

How?

Answer 13

For the first one: x=pi/2+pi(n) and for the second one: x=pi(n)