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3 votes
Factor the algebraic expression below in terms of a single trig function

sin^2 x + sin x - 2

2 Answers

1 vote
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)
User BumbleShrimp
by
7.8k points
2 votes
this would be
(sin x + 2)(sin x - 1)
User LeBird
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