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### Vocabulary

Explain how to graph ** rectangular coordinates**: _______________________________________________________________________

Explain how to graph polar coordinates:

_______________________________________________________________________

### Polar to Rectangular Conversion

We can use ** trigonometry** to convert from polar coordinates to rectangular coordinates.

Complete the coordinate conversion equations:

_________________ _________________

_________________ _________________

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Given the following polar coordinates, find the corresponding rectangular coordinates of the points:

Write each polar equation in rectangular form:

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#### Rectangular to Polar Conversion

To convert from rectangular to polar coodinates, we use the Pythagorean Theorem and the Arctangent function.

*Note:** The Arctangent function only calculates angles in the first and fourth quadrants so radians must be added to the value of for all points with rectangular coordinates in the second and third quadrants.*

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Write the following points, given in rectangular form, in polar form using radians where .

*Remember: **There are many possible polar coordinates!*

- (5,3)
- (-2,4)
- (-7,1)

For each equation, convert the rectangular equation to polar form.

*Hint: **Use the equations ** and **.*