anonymous
  • anonymous
Help? D: How do you determine the exact trigonometric ratio of tan 5pi/12?
Trigonometry
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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eyust707
  • eyust707
well 5/12 = 3/12 + 2/12 right?
anonymous
  • anonymous
..Yeah
eyust707
  • eyust707
and 3/12 is 1/4 2/12 is 1/6

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More answers

anonymous
  • anonymous
Mhm
anonymous
  • anonymous
I understand that far.. Kind of
eyust707
  • eyust707
sweet so that means that: \[\tan ({5\pi \over 12} )= \tan ({3\pi \over 12} + {2\pi \over 12}) = \tan ({\pi \over 4} + {\pi \over 6})\]
anonymous
  • anonymous
That makes sense so far, it's usually what follows that ends up looking like Chinese. >.<
eyust707
  • eyust707
Well then you can use an identity...
eyust707
  • eyust707
1 Attachment
eyust707
  • eyust707
the bottom one should work
anonymous
  • anonymous
Do you mind showing me how it would work out?.. >.< Sorry
eyust707
  • eyust707
No its fine =) as long as you help me
eyust707
  • eyust707
what would you use for u?
eyust707
  • eyust707
what about v?
anonymous
  • anonymous
so u can be 1/4 and v can be 1/6
eyust707
  • eyust707
Yep! make sure you use (1/4)* pi\[\tan ({\pi \over 4} + {\pi \over 6})\]
eyust707
  • eyust707
u = \(\pi \over 4\) v = \(\pi \over 6\)
eyust707
  • eyust707
we end up with|dw:1354678186124:dw|
eyust707
  • eyust707
tan(pi/4) = 1 tan(pi/6) = 1/sqrt(3)
anonymous
  • anonymous
Makes sense so far.
eyust707
  • eyust707
then substitute those numbers in
eyust707
  • eyust707
|dw:1354678373033:dw|
eyust707
  • eyust707
wait a minute.. something is isn't quite right
anonymous
  • anonymous
Erm, make the fractions rational?
eyust707
  • eyust707
the bottom + should actually be a -
eyust707
  • eyust707
|dw:1354678613665:dw|
anonymous
  • anonymous
OOOH. Right. Ohgawd. I'm so not ready for my test. lol
eyust707
  • eyust707
@satellite73 whats the best way to simplify this?
anonymous
  • anonymous
Lol..That's the step that keeps throwing me off.
anonymous
  • anonymous
..Um any break downs for it?..
UnkleRhaukus
  • UnkleRhaukus
|dw:1354711713075:dw|
UnkleRhaukus
  • UnkleRhaukus
|dw:1354711757394:dw|
UnkleRhaukus
  • UnkleRhaukus
|dw:1354711865053:dw|

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