anonymous
  • anonymous
find the exact value for cot(11pi/12)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
use the inverse of tan(a+b) equation
anonymous
  • anonymous
@Michele_Laino
anonymous
  • anonymous
@welshfella @nincompoop

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anonymous
  • anonymous
@AaronAndyson
welshfella
  • welshfella
i think you can ise the half angle formula tan (x/2 = sin x -------- 1 + cos x i'll just check if i got that right
welshfella
  • welshfella
put x = 11pi/6
welshfella
  • welshfella
|dw:1437930509023:dw|
welshfella
  • welshfella
form the diagram we see that sin 11pi/6 = -1/2 and cos = sqrt3/2
welshfella
  • welshfella
then having found the tan just invert to get the cot
welshfella
  • welshfella
so plug in sin x = -1/2 and cos x = sqrt3/2 in the formula to get tan (11pi/12)
welshfella
  • welshfella
tan (11pi/12) = -1/2 ----- 1 + sqrt3/2
welshfella
  • welshfella
simplyfing we get - 1 -------- 2 + sqrt3 now invert this to get cot(11pi/12)
welshfella
  • welshfella
are you there?
anonymous
  • anonymous
yay thank you so much

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