Convert to an equation in rectangular coordinates. r= 6csc(θ)−sec(θ) ​ (Express numbers in exact form. Use symbolic notation and fractions where needed.)

Answer 1

let's look at this way

r=[6/sinθ]-1/cosθ

multiply by sinθ

rsinθ=6-tanθ,,,,y/x =rsinθ/rsinθ=tanθ

y=6-(y/x)

y=6x/(x+1)

Answer 2

x=rcosT

x=r/secT

secT/r = 1/x

y = rsinT

y = r/cscT

cscT/r= 1/y

r=6cscT- secT

divide by r

r/r = 1 = 6cscT/r - secT/r

1=6/y -1/x

or

solve for y

multiply by xy

xy = 6x-y

xy+y = 6x

(x+1)y = 6x

y = 6x/(x+1)

f(x) = 6x/(x+1) in functional notation x not =-1