1. How do we recognize and graph trigonometric functions?
Graphs of Other Trigonometric Functions
Essential Questions
How do we recognize and graph trigonometric functions?
Holt McDougal Algebra 2
Holt Algebra 2

2. The tangent and cotangent functions can be graphed on the coordinate plane. The tangent function is undefined when θ = + n, where n is an integer. The cotangent function is undefined when θ = n. These values are excluded from the domain and are represented by vertical asymptotes on the graph. Because tangent and cotangent have no maximum or minimum values, amplitude is undefined.
To graph tangent and cotangent, let the variable x represent the angle θ in standard position.

3. Graphing Tangent Functions
Equation of a Tangent Function
No Amplitude
Period
Complete Cycle

4. Graphing Tangent Functions
Draw one cycle of the function’s graph.
Period

5. Graphing Tangent Functions
Draw one cycle of the function’s graph.
Period

6. Graphing Tangent Functions
Draw one cycle of the function’s graph.
Period

7. Graphing Tangent Functions
Draw one cycle of the function’s graph.
Translation
down 3
Period

8. Graphing Tangent Functions
Draw one cycle of the function’s graph.
Translation
Left p/4
Period

9. Graphing Tangent Functions
Draw one cycle of the function’s graph.
Period
Reflection over x-axis

10. Lesson 11.2 Practice A