Trig

Given that theta is a quadrant 3 angle with cos of theta=-7radical65/65, determine tan of theta

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  1. sin is - in quad 3

    65^2 = 49(65) + x^2
    65 (65-49) = x^2
    65 (16) = x^2
    x = 4 sqrt 65 (third side of triangle)
    so
    sin = -4 sqrt65/65

    tan = sin/cos = 4sqrt65 / 7sqrt65
    = 4/7

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