anonymous
  • anonymous
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
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Exact not evact sorry
tkhunny
  • tkhunny
2*165º = 330º = 360º - 30º Reference Angle -30º
anonymous
  • anonymous
\[\tan \left( \frac{x}{2} \right) = \frac{\sin x}{1 + \cos x}\] plug x = 330º

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anonymous
  • anonymous
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.
anonymous
  • anonymous
maybe you forgot to rationalize the denominator?
tkhunny
  • tkhunny
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.
anonymous
  • anonymous
|dw:1357957749155:dw|
tkhunny
  • tkhunny
@exraven wins. Just rationalize the denominator!
anonymous
  • anonymous
how do you do that?
anonymous
  • anonymous
multiply by the conjugate
anonymous
  • anonymous
\[\frac{-1}{2 +\sqrt{3}}\]multiply by \[\frac{2 -\sqrt{3}}{2 - \sqrt{3}}\]
anonymous
  • anonymous
the answer is square root 3 minus 2 in the book. I cannot quite get it to match
tkhunny
  • tkhunny
Again, let's see your work. We'll be able to tell where you wander off.
anonymous
  • anonymous
|dw:1357958794041:dw|
anonymous
  • anonymous
yes, what is the value of square root of 9?
anonymous
  • anonymous
3
tkhunny
  • tkhunny
That's it. Don't panic that it does not yet match the book. Keep going!
anonymous
  • anonymous
continue then
anonymous
  • anonymous
|dw:1357959061747:dw|
anonymous
  • anonymous
yes, you got it
anonymous
  • anonymous
Thank you

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