1. Graphs of Other Trigonometric Functions
Section 4.6
Graphs of Other Trigonometric Functions

2. Objective By following instructions students will be able to:
Sketch the graphs of tangent functions.
Sketch the graphs of cotangent functions.
Sketch the graphs of secant and cosecant functions.

3. Tangent Graph y=a tan[bx-c]+d Note: tan(-x)=-tan x Recall: Period
Range
Vertical Asymptotes

4. Example 1: Sketching the Graph of a Tangent Function
Sketch the graph of

5. Example 2: Sketch the graph of a Tangent Equation

6. Cotangent Graph y=a cot[bx-c]+d Recall: Period Range
Vertical Asymptotes

7. Example 3: Sketch the Graph of a Cotangent Function

8. Cosecant Graph y=a csc[bx-c]+d All Recall: Period Range all y not in
Vertical Asymptotes

9. Secant Graph y=a sec[bx-c]+d All Recall: Period Range all y not in
Vertical Asymptotes

10. Example 4: Comparing Trigonometric Graphs
Analyze the graph of

11. Example 5: Comparing Trigonometric Graphs
Analyze the graph of

12. Trigonometric Functions
Summary of Six Basic
Trigonometric Functions
All

13. Revisit Objective Did we… Sketch the graphs of tangent functions?
Sketch the graphs of cotangent functions?
Sketch the graphs of secant and cosecant functions?

14. Homework
Pg 341 #1-45 ODD