Question

The terminal side of θ lies on a given line in the specified quadrant. Find the values of the six trigonometric functions of θ by finding a point on the line. Line: (55/48)x Quadrant:III

sin(θ)=
cos(θ)=
tan(θ)=
csc(θ)=
sec(θ)=
cot(θ)=

Answer 1

I will assume you are saying that the line is
y = (55/48)x
or one point on the line in quadrant III would be
(-48,-55)

then r^2 = (-48)^2 + (-55)^2
r = √5329 = 73

sinØ = y/r = -55/73
cosØ = x/r = -48/73
etc.

Answer 2

Line: 4x+3y=0 IV