use the given values to evalute all six trigonometric functions secx=3/2, cscx=-3square root5/5

secx= 3/2 ---> cosx = 2/3

cscx= -3√5/5 ---> sinx = -5/(3√5)

Since the cos is + and the sin is -, x must be in IV
all we need is the
tanx = -√5/2
cotx = -2/√5