A point on the terminal side of an angle θ in standard position is given. Find exact value of each of the six trigonometric functions of θ.

Question

1) (-3, 4)

2) (2, -3)

Answer 1

Since the point is (-3,4) the hypotenuse would be 5 since (-3)^2+4^2=5^2

x=-3 y=4 r=5

sin=y/r=4/5 cos =x/r=-3/5 tan =y/x=-4/3

csc=r/y=5/4 sec = r/x=-5/3 tan=x/y=-3/4