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Section 4.5 Graphs of Sine and Cosine Functions

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Presentation on theme: "Section 4.5 Graphs of Sine and Cosine Functions"— Presentation transcript:

1 Section 4.5 Graphs of Sine and Cosine Functions

2

3 Continuation of the previous problem showing 3 cycles

4 Graphing y=2 Sin x

5

6 Graphing y=½ Sin x

7 Graphing y=-2 Sin x

8

9 Graphing y=3 Sin 2x

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11 The Effect of Horizontally Shifting the Graph

12 Example

13 Example

14 Example

15 Example

16 Example

17 Example

18

19

20 Cosine with a Different Amplitude and Period

21

22 Example

23 Example

24 Vertical Shifts of Sinusoidal Graphs

25 Cosine Function with a Vertical Shift

26 Example

27 Example

28 Example 20 10 The number of hours after midnight.

29 (a) (b) (c) (d)

30 (a) (b) (c) (d)

31 (a) (b) (c) (d)


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