# Can you help me Transform from a polar to a rectangular equation?

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#r=2sintheta+2costheta#

##### 2 Answers

#### Explanation:

We use the following three definitions to convert between Cartesian and polar coordinates

Using these, we get the equation as

We now complete the square for both

So finally,

Given:

Please observe the graph of the polar equation:

Multiply both sides by

Substitute

Subtract

Add

Using the pattern

Collapse the left side into a square:

Using the pattern

Collapse the left side into a square and combine like terms on the right:

Write in standard form:

This is a circle with its center at the point

Please observe that the graph is identical to the original equation: