# Lesson 3Getting on the Right WavelengthPractice Understanding

Use what you know about the definition of tangent in a right triangle to find the value of tangent for each of the right triangles.

### 5.

In each graph, the angle of rotation is indicated by an arc and . Describe the angles of rotation from to that make tangent be positive and the angles of rotation that make tangent be negative.

#### a.

Angles of rotation from to that make tangent be positive:

#### b.

Angles of rotation from to that make tangent be negative:

## Set

### 6.

Match each trigonometric representation with an equivalent representation. Then, check your answers with a graphing calculator.

(The scale on the vertical axis is . The scale on the horizontal axis is .)

1. ___

2. ___

3. ___

4. ___

5. ___

6. ___

### 7.

Select the equation(s) that have the same graph as .

### 8.

Select the equation(s) that have the same graph as .

#### B.

For each function, identify the amplitude, period, horizontal shift, and vertical shift.

### 9.

amplitude:

period:

horizontal shift:

vertical shift:

### 10.

amplitude:

period:

horizontal shift:

vertical shift:

## Go

For problems 11-14, multiply.

### 15.

Find the quadratic equation with solutions and . Assume the coefficient of is 1.

### 16.

Find the quadratic equation with solutions and . Assume the coefficient of is 1.

### 17.

Find the quadratic equation with solutions and . Assume the coefficient of is 1.