6.
5.7 + 2(w + 1) = 2w + 9
- 8(4 + 9r) = 7(- 2 – 11r)
-

0

Step-by-step explanation:

are given:

\displaystyle \frac{\sin^2(x)-\sin(x)-2}{\sin(x)-2}

sin(x)−2

sin

2

(x)−sin(x)−2

To make it simpler and more clear, we can let u = sin(x). So:

\displaystyle \frac{u^2-u-2}{u-2}

u−2

u

2

−u−2

Now, it becomes obvious that we can factor, which produces:

\displaystyle =\frac{(u-2)(u+1)}{u-2}=

u−2

(u−2)(u+1)

Cancel:

=u+1=u+1

And substituting back:

=\sin(x)+1=sin(x)+1

Hence, our answer is A.