1. Tangent and Cotangent Functions Graphing

2. Copyright © 2009 Pearson Addison-Wesley6.5-2 Graph of the Tangent Function A vertical asymptote is a vertical line that the graph approaches but does not intersect, while function values increase or decrease without bound as x-values get closer and closer to the line.

3. The Graph of y = tan x Period: The tangent function is an odd function. The tangent function is undefined at

4. Copyright © 2014, 2010, 2007 Pearson Education, Inc. 4 The Tangent Curve: The Graph of y = tan x and Its Characteristics

5. Copyright © 2014, 2010, 2007 Pearson Education, Inc. 5 The Tangent Curve: The Graph of y = tan x and Its Characteristics (continued)

6. Copyright © 2014, 2010, 2007 Pearson Education, Inc. 6 The Cotangent Curve: The Graph of y = cot x and Its Characteristics

7. Copyright © 2014, 2010, 2007 Pearson Education, Inc. 7 The Cotangent Curve: The Graph of y = cot x and Its Characteristics (continued)