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If cos θ = 2/3 and 270° < θ < 360° then determine the exact value of 1/cot

  • math -

    Q4. cosA = 2/3 = X/r,

    X^2 + Y^2 = r^2,
    2^2 + Y^2 = 3^2,
    4 + Y^2 = 9,
    Y^2 = 9 - 4 = 5,
    Y = +-sqrt5,
    Y = -sqrt5(Q4).

    1/cotA = tanA = Y/X = -(sqrt5/2).

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