ANSWER
[tex]( \sin(x) + 2)( \sin(x) - 1)[/tex]
EXPLANATION
The given trigonometric function is:
[tex] \sin^{2} x + \sin(x) - 2[/tex]
This is a quadratic trinomial in sinx
We split the middle term to obtain:
[tex]\sin^{2} x + 2 \sin(x) - \sin(x) - 2[/tex]
[tex] \sin \:x ( \sin(x) + 2 ) - 1( \sin(x) + 2)[/tex]
The factors are:
[tex]( \sin(x) + 2)( \sin(x) - 1)[/tex]
