Question

Solve sin(x)(sin(x)-1) = 0.

A. x=pi/3+or-2pin,x=3pi/4+or-2pin
B. x=+of-pin
C. x=+or-pin,x=pi/2+or-2pin
D. x=pi/2+or-2pin,x=3pi/2+or-2pin

Answer 1

Since it's already factored, what are the two possibilities? In other words,\[\text{something}=0 \vee \text{something else}=0.\] What is the "something" and "something else"?

Answer 2

If the product of factors is 0 then one of the factors must be 0 so write:
\[\sin x=0\]
or\[\sin x-1=0\]

Answer 3

Solve each of those equations.