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anonymous 3 years ago Use even and odd properties of the trigonometric functions to find the exact value of the expression.

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1. anonymous

csc -( pi / 6 )

2. anonymous

Well, here we go: You started with: $\csc (-\frac{ \pi }{ 6 })$ Is that right?

3. anonymous

Yes

4. anonymous

Now, what is equal to csc (x)? (In terms of another trig function)

5. anonymous

1/sin?

6. anonymous

Okay good, now we get this: $\csc (-\frac{ \pi }{ 6 }) = \frac{ 1 }{ \sin(-\frac{ \pi }{ 6 }) }$ Correct?

7. anonymous

Yes,

8. anonymous

So what do you get for: $\sin (-\frac{ \pi }{ 6 })$

9. anonymous

-.5

10. anonymous

Great, now what is 1/(-1/2)?

11. anonymous

-2

12. anonymous

And that's your answer :D

13. anonymous

Okay, thank you for the help.! :-)

14. anonymous

No problem kiddo.

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