sin = y / r
sin = -60 / 61
y = -60
r = 61
x = ?
---To find x, we'll use the Pythagorean theorem.
60^2 + x^2 = 61^2
3600 + x^2 = 3721
x^2 = 121
x = 11
Quadrant 3 is (-, -) = x and y coordinates are both negative.
Therefore, x = -11.
cos = x / r
x = -11
r = 61
cos = -11 / 61
Hope this helps!