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Trig – Section 4 Graphing Sine and Cosine Objectives: To graph sine and cosine curves To find amplitude, period and phase shifts.
Sine Curve: (1,0) (0,1) (-1, 0) (0,-1) 0 22 1
Ex 1. Graph the following functions. a)y = -sin x b)y = ½ sin x 1 1
c)y = 1 + sin x d)y = 2sin x 1 1
Cosine Curve: (1,0) (0,1) (-1, 0) (0,-1) 0 22 1
Ex 2. Graph the following functions. a)y = cos x b)y = 2 + cos x 1 1
c) y = -3cos x 1
Class Work 1. Graph y = 1 – sin x 2. Graph y = -1 + cos x 3. Graph
Amplitude and Period of Sine and Cosine Curves:
Ex 3. Find the amplitude and period of each function. a) b) c)
Shifted Sine and Cosine Curves: The sine and cosine curves have amplitude of, period, and phase shift b.
Find the amplitude, period, and phase shift of the following. a) b) c)
Class Work Find the amplitude period and phase shift of the following. 4. 5.
HW #6 Graphing Worksheet HW #7 Amplitude, Period, and Phase Shift Worksheet All
Aim: What is the transformation of trig functions? Do Now: HW: Handout Graph: y = 2 sin x and y = 2 sin x + 1, 0 ≤ x ≤ 2π on the same set of axes.
Section 4.5 Graphs of Sine and Cosine. Sine Curve Key Points:0 Value: π 2π2π π 2π2π 1.
Graphing Sine and Cosine. Video Graphing Calculator Mode— Radians Par Simul Window— –X min = -1 –X max = 2 –X scale = /2 Window— –Y min = -3 –Y max.
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Graphing Sine and Cosine. Graphing Calculator Mode— Radians Par Simul Window— –X min = -1 –X max = 2 –X scale = /2 Window— –Y min = -3 –Y max = 3.
January 24 th copyright2009merrydavidson. y = cos x.
Section 4.5 Graphs of Sine and Cosine Functions. The Graph of y=sin x.
4.5 Graphs of Sine and Cosine Functions
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Trigonometric of any Angle Pg. 501 – 514 LEARNING OBJECTIVES; Use the definitions of trigonometric functions of any angle. Use the signs of the trigonometric.
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Using Transformations to Graph the Sine and Cosine Curves The following examples will demonstrate a quick method for graphing transformations of.
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2.6 Graphing Sine and Cosine Functions Warm-up (IN) 1.Identify the transformations from to Learning Objective: To graph sine and cosine functions and to.
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State the amplitude and period for each function
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Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 7.6 Graphs of the Sine and Cosine Functions.
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