DuhTacos
Answered

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



Select The Correct Answer Which Expression Is Equivalent To Sin2xsinx2sinx2 class=

Sagot :

xKelvin

Answer:

A

Step-by-step explanation:

We are given:

[tex]\displaystyle \frac{\sin^2(x)-\sin(x)-2}{\sin(x)-2}[/tex]

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

[tex]\displaystyle \frac{u^2-u-2}{u-2}[/tex]

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

[tex]\displaystyle =\frac{(u-2)(u+1)}{u-2}[/tex]

Cancel:

[tex]=u+1[/tex]

And substituting back:

[tex]=\sin(x)+1[/tex]

Hence, our answer is A.

birluteijn

Answer:

A

Step-by-step explanation:

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