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### Vocabulary

##### Complete the chart.

Word | Definition |

Polar Coordinates | ________________________________________________________ |

______________ | a graph of two heart shaped loops reflected across the "x" axis |

______________ | a graph with a sinusoidal curve looping around the origin |

Transformation | ________________________________________________________ |

### Polar Coordinates

How many **radians** are in a circle? _____________

How do you convert from **degrees** to **radians**? ____________________________

In your own words, explain how to graph polar points on a graph: _____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

**.**

**Name the coordinates of the points on this graph: **

A: ____________

B: ____________

C: ____________

Graph the following on a calculator:

Give three alternate sets of coordinates for the given point within the range .

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.

#### Distance Between Two Polar Coordinates

What is the Law of Cosines? ______________________________________

How do we have to transform the Law of Cosines to make it a distance formula for polar coordinates? _____________________________________________________

Therefore, what is the Polar Distance Formula? ______________________________________

.

Find the distance between each set of points:

- and
- and
- and

#### Transformations

Give an equation for a * line* on a polar graph: _______________________________

Give an equation for a ** circle** on a polar graph: _______________________________

Graph the following polar equations on the same polar grid and compare the graphs.

.

What are the graphs of or called? _________________________

Graph each function using your calculator and sketch on your paper.

- How do sine and cosine graphs differ?