# Lesson 10EComplex Polar PlanesSolidify Understanding

Transform point as indicated below.

### 1.

1. Apply the rule to point . Label as

2. Apply the rule to point . Label as .

3. Apply the rule to point . Label as .

Transform the given graph as indicated below.

### 2.

1. Apply the rule to . Label as .

2. Apply the rule to . Label as .

3. Apply the rule to . Label as

## Set

Coordinate Conversion:

The polar coordinates are related to the rectangular coordinates as follows:

Convert the points from polar to rectangular coordinates.

### 6.

Convert the points from rectangular to polar coordinates.

### 10.

Consider the complex number . The angle is the angle measure from the positive real axis to the line segment connecting the origin and the point . and , where .

By replacing and , you have . Factor out the to obtain the trigonometric form of a complex number.

If , then the trigonometric form is .

Write the complex numbers in trigonometric form .

### 14.

Write the complex number in standard form .

## Go

Use the definition of to find the value of . Recall that has a base of . (NO CALCULATORS)