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### Vocabulary

##### Complete the table.

Word | Definition |

Reference angle | ____________________________________________________________ |

rcisθ | ____________________________________________________________ |

### Polar Form

There are multiple forms a number can take. These five bullets all represent the same number:

- complex number:
- rectangular point
- polar point:

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1) Plot the complex number

- a) What is needed in order to plot this point on the polar plane?
- b) How could the r-value be determined?
- c) What is the r for this point?
- d) How could be determined?
- e) What is for this point?
- f) What would look like on the polar plane?

2) What quadrant does occur in when graphed?

3) What are the coordinates of z = -3 + 2i in polar form and trigonometric form?

4) What would be the polar coordinates of the point graphed below?

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Change to polar form

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Change to rectangular form

- For the complex number in standard form find: a) Polar Form b) Trigonometric Form (Hint: Recall that and )

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