Question

Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.)

Answer 1

The standard conversion toolbox:
x=rcos(θ)
y=rsin(θ)

Here r=7csc(θ)
so 
x=7csc(θ)*cos(θ)=7cos(θ)/sin(θ)=7cot(θ)
y=7csc(θ)*sin(θ)=7sin(θ)/sin(θ) = 7
therefore the rectangular coordinates are (7cot(θ), 7)