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PreCalclus 4-5 Graphs of Sine and Cosine Functions.

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Presentation on theme: "PreCalclus 4-5 Graphs of Sine and Cosine Functions."— Presentation transcript:

1 PreCalclus 4-5 Graphs of Sine and Cosine Functions

2 Trigonometric Graphs - Activity Use the unit circle (paper plate) that was saved from the unit circle lesson. Wrap a piece of yarn around the circle, and mark each of the main values on the yarn with a marker.

3 Trigonometric Graphs - Activity Put a straight line across two pieces of paper, and transfer the radian measures from the piece of yarn Label each mark appropriately

4 Trigonometric Graphs - Activity Break pieces of spaghetti to the length of the y value (sine) for each graph marking. Glue these pieces onto your paper at the appropriate locations Be sure to show the third and fourth quadrants as negative.

5 Trigonometric Graphs - Activity With another piece of yarn, or a marker, connect all the tops of the spaghetti with a smooth line. Let the glue dry

6 Trigonometric Graphs

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29 Amplitude = 2 Period = π/2 Phase Shift = 1.3 to the right

30 Trigonometric Graphs Graph one complete period. Amplitude = 2 ½ / 2 Period = 2π/3 Phase Shift = 2/3 to the leftt

31 Trigonometric Graphs

32 Menu > 4 > 1 Play with the window to get a good view of the function

33 Trigonometric Graphs

34 Graph this function and comment on its behavior when x is close to zero

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36 Homework Pg 294 - 296 1 – 71 odd, 75


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