The point (-3,5) lies on the terminal arm of angle theta in standard position. Determine the trigonometric ratios for theta . Leave values in simplified radical form where necessary.
r = sqrt [ (- 3 )^2 + 5^2 ] = sqrt [ 34]
sin = y/ r = 5/sqrt (34) = (5/34)sqrt (34)
csc = r/ y = sqrt (34) / 5
cos =x / r = -3/sqrt (34) = (-3/34) sqrt (34)
sec = r / x = -sqrt (34) / 3
tan = y/ x = 5/-3 = -5/3
cot = x /y = -3/5