Question

will someone please teach me how to convert rectangular equations to polar and vice versa ... my test is 2mm and its already 2 AM ):

Answer 1

well there are 4 identities you will use:
\[x^2 + y^2 = r^2\]
\[x = r \cos \theta\]
\[y =r \sin \theta\]
\[\tan \theta = \frac{y}{x}\]
the converting involves multiple substitutions

Answer 2

Here is example:
\[y = 4x +3\]
convert to polar
\[r \sin \theta = 4r \cos \theta +3\]
solve for r
\[r = \frac{3}{\sin \theta - 4 \cos \theta}\]