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haleyking345

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?

  • one year ago
  • one year ago

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  1. haleyking345
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    Exact not evact sorry

    • one year ago
  2. tkhunny
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    2*165º = 330º = 360º - 30º Reference Angle -30º

    • one year ago
  3. exraven
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    \[\tan \left( \frac{x}{2} \right) = \frac{\sin x}{1 + \cos x}\] plug x = 330º

    • one year ago
  4. haleyking345
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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.

    • one year ago
  5. exraven
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    maybe you forgot to rationalize the denominator?

    • one year ago
  6. tkhunny
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    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.

    • one year ago
  7. haleyking345
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    |dw:1357957749155:dw|

    • one year ago
  8. tkhunny
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    @exraven wins. Just rationalize the denominator!

    • one year ago
  9. haleyking345
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    how do you do that?

    • one year ago
  10. exraven
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    multiply by the conjugate

    • one year ago
  11. exraven
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    \[\frac{-1}{2 +\sqrt{3}}\]multiply by \[\frac{2 -\sqrt{3}}{2 - \sqrt{3}}\]

    • one year ago
  12. haleyking345
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    the answer is square root 3 minus 2 in the book. I cannot quite get it to match

    • one year ago
  13. tkhunny
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    Again, let's see your work. We'll be able to tell where you wander off.

    • one year ago
  14. haleyking345
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    |dw:1357958794041:dw|

    • one year ago
  15. exraven
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    yes, what is the value of square root of 9?

    • one year ago
  16. haleyking345
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    3

    • one year ago
  17. tkhunny
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    That's it. Don't panic that it does not yet match the book. Keep going!

    • one year ago
  18. exraven
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    continue then

    • one year ago
  19. haleyking345
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    |dw:1357959061747:dw|

    • one year ago
  20. exraven
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    yes, you got it

    • one year ago
  21. haleyking345
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    Thank you

    • one year ago
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