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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.

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Sine Curve: (1,0) (0,1) (-1, 0) (0,-1) 0 22 1

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Ex 1. Graph the following functions. a)y = -sin x b)y = ½ sin x 1 1

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c)y = 1 + sin x d)y = 2sin x 1 1

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Cosine Curve: (1,0) (0,1) (-1, 0) (0,-1) 0 22 1

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Ex 2. Graph the following functions. a)y = cos x b)y = 2 + cos x 1 1

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c) y = -3cos x 1

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Class Work 1. Graph y = 1 – sin x 2. Graph y = -1 + cos x 3. Graph

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Amplitude and Period of Sine and Cosine Curves:

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Ex 3. Find the amplitude and period of each function. a) b) c)

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Shifted Sine and Cosine Curves: The sine and cosine curves have amplitude of, period, and phase shift b.

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Find the amplitude, period, and phase shift of the following. a) b) c)

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Class Work Find the amplitude period and phase shift of the following. 4. 5.

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HW #6 Graphing Worksheet HW #7 Amplitude, Period, and Phase Shift Worksheet All

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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.

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.

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