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How do I find the reference angle in radicals given the value of cosecant 5 pi/6?

  • Pre-cal -

    If the given angle is θ, and the reference angle is Ø, then Ø is always in QI.

    If θ is in Q1, Ø = θ
    in QII, Ø = π-θ
    in QIII, Ø = θ-π
    in QIV, Ø = 2π-θ

    so, in this case, your reference angle is pi - 5pi/6 = pi/6

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