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## mmkoscielski 3 years ago (__)^2= (csc x-1)(csc x+1) solve for the blank

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1. mmkoscielski

would it be cscx^2

2. BTaylor

it would be $\csc^{2} x$

3. mmkoscielski

okay

4. nolastudent

(csc x-1)(csc x+1) = $\csc^{2}(x) - 1 = (blank)^{2}$ so $\sqrt{\csc2(x)−1} = blank$

5. gandalfwiz

Nolastudent-- you're way makes sense, but is there a way to simplify is more?

6. nolastudent

yes, sorry, trig identity: csc^2(x)-1 = cot^2(x)

7. gandalfwiz

*your*. Sorry... :)

8. nolastudent

so square root of cotangent squared, which is cotangent.

9. nolastudent

That's okay, we're in the math section XD

10. gandalfwiz

Okay, that makes more sense. I can never simplify mine enough... :)

11. nolastudent

LOL, thanks for the help gandalfwiz!

12. gandalfwiz

So the final answer is cotx?

13. nolastudent

yep

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