# Find a polar equation for the curve represented by the given Cartesian equation: a) 4x+4y=9 ...

## Question:

Find a polar equation for the curve represented by the given Cartesian equation:

a) {eq}4x+4y=9 {/eq}

Write the answer in the form {eq}r=f(t) {/eq} where {eq}t {/eq} stands for {eq}\theta. {/eq}

Polar equation: {eq}r=\; \rule{20mm}{.5pt} {/eq}

b) {eq}x^2-y^2=4 {/eq}

Write the answer in the form {eq}r^2=f(t) {/eq} where {eq}t {/eq} stands for {eq}\theta {/eq}.

Polar equation: {eq}r^2=\; \rule{20mm}{.5pt} {/eq}

## Polar Equation:

A function expressed in rectangular coordinates y=f(x) can be converted to polar coordinates

by accounting for transformation formulas from rectangular to polar coordinates

{eq}x= r \cos \theta \\ y= r \sin \theta {/eq}