Graphs of Other Trigonometric Functions

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Graphs of Other Trigonometric Functions

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Presentation transcript:

Graphs of Other Trigonometric Functions Section 4.6 Graphs of Other Trigonometric Functions

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.

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

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

Example 2: Sketch the graph of a Tangent Equation

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

Example 3: Sketch the Graph of a Cotangent Function

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

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

Example 4: Comparing Trigonometric Graphs Analyze the graph of .

Example 5: Comparing Trigonometric Graphs Analyze the graph of .

Trigonometric Functions Summary of Six Basic Trigonometric Functions All

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

Homework Pg 341 #1-45 ODD