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CheezeFace

Help? D: How do you determine the exact trigonometric ratio of tan 5pi/12?

  • one year ago
  • one year ago

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  1. eyust707
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    well 5/12 = 3/12 + 2/12 right?

    • one year ago
  2. CheezeFace
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    ..Yeah

    • one year ago
  3. eyust707
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    and 3/12 is 1/4 2/12 is 1/6

    • one year ago
  4. CheezeFace
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    Mhm

    • one year ago
  5. CheezeFace
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    I understand that far.. Kind of

    • one year ago
  6. eyust707
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    sweet so that means that: \[\tan ({5\pi \over 12} )= \tan ({3\pi \over 12} + {2\pi \over 12}) = \tan ({\pi \over 4} + {\pi \over 6})\]

    • one year ago
  7. CheezeFace
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    That makes sense so far, it's usually what follows that ends up looking like Chinese. >.<

    • one year ago
  8. eyust707
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    Well then you can use an identity...

    • one year ago
  9. eyust707
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    • one year ago
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  10. eyust707
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    the bottom one should work

    • one year ago
  11. CheezeFace
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    Do you mind showing me how it would work out?.. >.< Sorry

    • one year ago
  12. eyust707
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    No its fine =) as long as you help me

    • one year ago
  13. eyust707
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    what would you use for u?

    • one year ago
  14. eyust707
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    what about v?

    • one year ago
  15. CheezeFace
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    so u can be 1/4 and v can be 1/6

    • one year ago
  16. eyust707
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    Yep! make sure you use (1/4)* pi\[\tan ({\pi \over 4} + {\pi \over 6})\]

    • one year ago
  17. eyust707
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    u = \(\pi \over 4\) v = \(\pi \over 6\)

    • one year ago
  18. eyust707
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    we end up with|dw:1354678186124:dw|

    • one year ago
  19. eyust707
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    tan(pi/4) = 1 tan(pi/6) = 1/sqrt(3)

    • one year ago
  20. CheezeFace
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    Makes sense so far.

    • one year ago
  21. eyust707
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    then substitute those numbers in

    • one year ago
  22. eyust707
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    |dw:1354678373033:dw|

    • one year ago
  23. eyust707
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    wait a minute.. something is isn't quite right

    • one year ago
  24. CheezeFace
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    Erm, make the fractions rational?

    • one year ago
  25. eyust707
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    the bottom + should actually be a -

    • one year ago
  26. eyust707
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    |dw:1354678613665:dw|

    • one year ago
  27. CheezeFace
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    OOOH. Right. Ohgawd. I'm so not ready for my test. lol

    • one year ago
  28. eyust707
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    @satellite73 whats the best way to simplify this?

    • one year ago
  29. CheezeFace
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    Lol..That's the step that keeps throwing me off.

    • one year ago
  30. CheezeFace
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    ..Um any break downs for it?..

    • one year ago
  31. UnkleRhaukus
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    |dw:1354711713075:dw|

    • one year ago
  32. UnkleRhaukus
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    |dw:1354711757394:dw|

    • one year ago
  33. UnkleRhaukus
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    |dw:1354711865053:dw|

    • one year ago
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