Section 4.6 handout ann

Section 4.6 handout ann - Section 4.6 Graphs of Other...

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Section 4.6 Graphs of Other Trigonometric Functions, Page 1 Section 4.6 Graphs of Other Trigonometric Functions, page 1
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Section 4.6 Graphs of Other Trigonometric Functions, Page 2 Section 4.6 Graphs of Other Trigonometric Functions, page 2
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Section 4.6 Graphs of Other Trigonometric Functions, Page 3 Section 4.6 Graphs of Other Trigonometric Functions, page 3
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Section 4.6 Graphs of Other Trigonometric Functions, Page 4 Section 4.6: Graphs of Other Trigonometric Functions 1) Objective 1: Understand the Graph of y = tan x . a. Graph y 1 = tan x using your graphing calculator. 1. Be sure you are in radian mode . 2. Use window settings: b. What are the characteristics of this graph? 1. Period = ______________ ? 2. Domain = _____________ ? 3. Range = ______________ ? 4. Vertical asymptotes: x = _________? x = _________? x = _________? x = _________? 5. x -intercepts: x = _________? x = ________ _ ? x = ________ ? x = _________? 6. Is it even or odd? _________ 7. For the middle cycle, _________ < x < _________ c. Notice: 1. A cycle begins and ends with vertical asymptotes. 2. The x -intercept is halfway between asymptotes. 3 y = ±1 is halfway between the x -intercept and the asymptotes. Section 4.6 Graphs of Other Trigonometric Functions, page 4 x min = -3 π / 2 y min = -6 x max = 3 π / 2 y max = 6 x scale = π / 4 y scale = 1 -π/2 π/2 π -6 -5 -4 -3 -2 -1 1 2 3 4 5
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Section 4.6 Graphs of Other Trigonometric Functions, Page 5 4. The graph rises from left to right within a cycle. Section 4.6 Graphs of Other Trigonometric Functions, page 5
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Section 4.6 Graphs of Other Trigonometric Functions, Page 6 2) Objective 2: Graph Variations of y = tan x . a. Steps in graphing one cycle of y = A tan ( Bx C ): Step 1 . Find asymptotes . Solve for x : - π /2 < Bx C < π /2 . a.
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Section 4.6 handout ann - Section 4.6 Graphs of Other...

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