How do I solve this?

Question

Let P = (5, 12) be a point on the terminal side of a standard position angle α. Find the exact values of the six trig functions of α:

sin α

csc α

cos α

sec α

tan α

cot α

How do I find r?

Answer 1

x = 5, y = 12. By Pythagorean Theorem r = (5**5 + 12*12) ** 0.5 = 13

sin α = y/r = 12/13

cos α = x/r = 5/13

tan α = sin α/cosα = 12/5

cot α = 1/tan α = 5/12

csc α = 1/sin α = 13/12

sec α = 1/cos α = 13/5