TRIG MATH

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If sin theta= -7/8, then the value of 1/cot theta in the interval 3pi/2<theta is? okay I've done this question twice. The 1st time I got -7/sqrt15 and the next time got sqrt15/7. Are either of these right or am I totally messed??? I've got myself confused.

  • TRIG MATH -

    sin = opposite / hypotenuse so,
    hypotenuse = 8
    opposite leg = 7
    adjacent leg = sqrt(8^2 - 7^2)
    = sqrt(15)
    1/cot = tan
    tan = opposite / adjacent
    = 7/sqrt(15)
    in the 4th quadrant the tangent is negative, so add a minus sign:
    1/cot(theta) = -7/sqrt(15)

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