**Solution: **Draw a cartesian plane and locate the 4th quadrant in the bottom right. Draw a right-angle triangle.

Recognize that Csc(x) = 1/Sin(x), so if Csc(x) = 17/15, then Sin(x) =15/17 because the reciprocal of 17/15 is 15/17.

Using SOHCAHTOA, we can see that Sin = Opposite/Hypotenuse.

In quadrant 4, draw a right-angled triangle with the opposite side with a length of 15, and the hypotenuse with a length of 17.

We need to determine the adjacent side because cos(x) = Adjacent/Hypotenuse.

Use the Pythagorean theorem to find the adjacent side is 8.

Therefore **the answer is cos(x) = 8/17.**