Below you are six Cartesian equations and four polar equations. For each polar equation, identify the corresponding Cartesian equation.

A. $\left(x-1\right)^2+\left(y-1\right)^2=2$
B. $y=1$
C. $x^2+y^2=4$
D. $x=1$
E. $x^2=y$
F. $x^2+\left(y-\frac{3}{2}\right)^2=\frac{9}{4}$

1. $r=\csc(\theta)$
2. $r\cos(\theta)=1$
3. $r=2\sin(\theta)+2\cos(\theta)$
4. $r=3\sin(\theta)$