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anonymous

  • one year ago

find the exact value for cot(11pi/12)

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  1. anonymous
    • one year ago
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    use the inverse of tan(a+b) equation

  2. anonymous
    • one year ago
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    @Michele_Laino

  3. anonymous
    • one year ago
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    @welshfella @nincompoop

  4. anonymous
    • one year ago
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    @AaronAndyson

  5. welshfella
    • one year ago
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    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

  6. welshfella
    • one year ago
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    put x = 11pi/6

  7. welshfella
    • one year ago
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    |dw:1437930509023:dw|

  8. welshfella
    • one year ago
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    form the diagram we see that sin 11pi/6 = -1/2 and cos = sqrt3/2

  9. welshfella
    • one year ago
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    then having found the tan just invert to get the cot

  10. welshfella
    • one year ago
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    so plug in sin x = -1/2 and cos x = sqrt3/2 in the formula to get tan (11pi/12)

  11. welshfella
    • one year ago
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    tan (11pi/12) = -1/2 ----- 1 + sqrt3/2

  12. welshfella
    • one year ago
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    simplyfing we get - 1 -------- 2 + sqrt3 now invert this to get cot(11pi/12)

  13. welshfella
    • one year ago
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    are you there?

  14. anonymous
    • one year ago
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    yay thank you so much

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