Question

How do you solve `sin(x)(sin(x)-1)=0`?

Answer 1

If `sin(x)*(sin(x)) = 0`
then either
`sin(x) = 0`
or
`sin(x) = 1`

If we restrict our answer to `x epsilon [0,2pi]`

`x= 0` or `x=pi` (for the case `sin(x)=0`)
or
`x= pi/2` (for the case `sin(x)=1`)

`x epsilon {0, pi/2, pi}`