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Use a half-angle identity to find the evact value of each function. A.) Tan 165 degrees I have tried and cannot come up with the right answer. Can I have some help?

Mathematics
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Exact not evact sorry
2*165º = 330º = 360º - 30º Reference Angle -30º
\[\tan \left( \frac{x}{2} \right) = \frac{\sin x}{1 + \cos x}\] plug x = 330º

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i did that, and i checked the answer in the back and it did not go right. I messed up somewhere but i do not know where.
maybe you forgot to rationalize the denominator?
Did you consider the quadrant? 330º is Quadrant IV (Tangent is Negative). 165º is Quadrant II (Tangent is negative) Please show your work and we'll be able to see where you wander off.
|dw:1357957749155:dw|
@exraven wins. Just rationalize the denominator!
how do you do that?
multiply by the conjugate
\[\frac{-1}{2 +\sqrt{3}}\]multiply by \[\frac{2 -\sqrt{3}}{2 - \sqrt{3}}\]
the answer is square root 3 minus 2 in the book. I cannot quite get it to match
Again, let's see your work. We'll be able to tell where you wander off.
|dw:1357958794041:dw|
yes, what is the value of square root of 9?
3
That's it. Don't panic that it does not yet match the book. Keep going!
continue then
|dw:1357959061747:dw|
yes, you got it
Thank you

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