Respuesta :
You can make it look simpler by doing a substitution.
Let u = sin x.
Then u^2 = sin^2 x.
sin^2 x + sin x - 2 =
Apply the substitution to get
= u^2 + u - 2
Factor
= (u + 2)(u - 1)
Now substitute back sin x for u.
= (sin x + 2)(sin x - 1)
Let u = sin x.
Then u^2 = sin^2 x.
sin^2 x + sin x - 2 =
Apply the substitution to get
= u^2 + u - 2
Factor
= (u + 2)(u - 1)
Now substitute back sin x for u.
= (sin x + 2)(sin x - 1)