Question

Use even and odd properties of the trigonometric functions to find the exact value of the expression.

Answer 1

csc -( pi / 6 )

Answer 2

Well, here we go:

You started with: \[\csc (-\frac{ \pi }{ 6 })\] Is that right?

Answer 3

Yes

Answer 4

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

Answer 5

1/sin?

Answer 6

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

Answer 7

Yes,

Answer 8

So what do you get for:

\[\sin (-\frac{ \pi }{ 6 })\]

Answer 9

-.5

Answer 10

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

Answer 11

-2

Answer 12

And that's your answer :D

Answer 13

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

Answer 14

No problem kiddo.