Answer:
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.
