Example 6:

 

Solution:

The perpendicular from the point on the terminal side gives us a 45-45-90 triangle, so we will choose 1 as the common length of the legs, and then the hypotenuse r has length the square root of 2, and the coordinates of the point on the terminal side are both negative since it is in the 3^rd quadrant:

So now we can give the exact values:

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