Question

Select the correct answer. Which expression is equivalent to sin^2x-sinx-2/sinx-2?

Answer 1

Answer:

A

Step-by-step explanation:

Answer 2

Answer:

A

Step-by-step explanation:

We are given:

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

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

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

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

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

Cancel:

$=u+1$

And substituting back:

$=\sin(x)+1$

Hence, our answer is A.