Question

Factor the algebraic expression below in terms of a single trigonometric function. sin^2 x +sin x-2

Answer 1

\[( \sin(x)-1 )(\sin(x)+2)\]

Answer 2

substitute sin(x) with (y)

Answer 3

Let u = sin x
Then sin^2 x + sin x - 2 = u^2 + u - 2
u^2 + u - 2 is easy to factor:
(u - 1)(u + 2)
Now substitute back sin x for u:
(sin x - 1)(sin x + 2)

Answer 4

you will get : \[ y^2 + y -2\]

Answer 5

now find two # Multiplied = -2
and the SUM of them = +1