# Lesson 9 More Hidden Identities Practice Understanding

In the diagram,

### 1.

### 2.

### 3.

### 4.

Graph the complex numbers as vectors on the diagram.

### 5.

The magnitude of a complex is its modulus. It is symbolized by the notation

Find the modulus of each of the complex numbers.

#### a.

#### b.

#### c.

#### d.

#### e.

#### f.

#### g.

Solve the following trigonometric equations. Write your answer(s) in the form (

### 6.

### 7.

### 8.

### 9.

### 10.

### 11.

### 12.

### 13.

### 14.

Use the graph to find all of the values for

### 15.

### 16.

Use the unit circle to explain the solutions you found in problem 15.

### 17.

Use the graph to approximate the points of intersection of the graphs of

### 18.

The scale on the

#### a.

Label the graph with the approximate location of

#### b.

Label the graph with the approximate location of