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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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Presentation on theme: "Trig – Section 4 Graphing Sine and Cosine Objectives: To graph sine and cosine curves To find amplitude, period and phase shifts."— Presentation transcript:

1 Trig – Section 4 Graphing Sine and Cosine Objectives: To graph sine and cosine curves To find amplitude, period and phase shifts.

2 Sine Curve: (1,0) (0,1) (-1, 0) (0,-1) 0 22  1

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

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

5 Cosine Curve: (1,0) (0,1) (-1, 0) (0,-1) 0 22  1

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

7 c) y = -3cos x 1

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

9 Amplitude and Period of Sine and Cosine Curves:

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

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

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

13 Class Work Find the amplitude period and phase shift of the following

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


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