If tan (x) = 1/2 and csc(x) < 0, then find cos(x).
If tan is positive then sin and cos are positive (Quadrant I ) or both are negative (quadrant III)
if csc (which equals 1/sin) is negative then cos must be negative also
arctan (1/2) = 26.565 degrees or 206.565 degrees cos = -.8944