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Select the correct answer.

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

Select the correct answer. Which expression is equivalent to sin^2x-sinx-2/sinx-2?-example-1
User Cmdkennedy
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7.7k points

2 Answers

13 votes

Answer:

A

Explanation:

User Quentin Lerebours
by
9.3k points
4 votes

Answer:

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.

User Splintor
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