Question

find the exact values of the six trigonometric functions of theta if the terminal side of theta in standard position contains the given point:

1. (8, 4)
2. (4, 4√3)
3. (0, -4)
4. (6, 2)

Answer 1

I will do the 2nd one:

for the point (4,4√3)
x = 4, y = 4√3 , r = 8 (by Pythagoras)

sinØ = y/r = 4√3/8
cscØ= 8/(4√3)
cosØ = x/r = 4/8 = 1/2
secØ = 2
tanØ = y/x = 4√3/4 = √3
cotØ = 1/√3

do the others the same way.