Question

Select the correct answer.

Which expression is equivalent to sin^2x-sinx-2/sinx-2?

Answer 1

A

Explanation:

Answer 2

A

Explanation:

We are given:

`\displaystyle (\sin^2(x)-\sin(x)-2)/(\sin(x)-2)`

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

`\displaystyle (u^2-u-2)/(u-2)`

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

`\displaystyle =((u-2)(u+1))/(u-2)`

Cancel:

`=u+1`

And substituting back:

`=\sin(x)+1`

Hence, our answer is A.