Six Trigonometric functions

Question

A point on the terminal side of an angle O is given P = (-5,-3). Use the definition, to find the exact values of the six trigonometric functions. Rationalize denominators if necessary.

Answer 1

r = √(-5)²+(-3)²= √34, x=-5, y=-3

sin = y/r = -3/√34=-3√34/34

cos = x/r= -5/√34=-5√34/34

tan = y/x= 3/5

cot= x/y=5/3

sec= r/x= -√34/5

csc = r/y= -√34/3