Graphs of Sine and Cosine Functions Pre Calclus

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Graphs of Sine and Cosine Functions Pre. Calclus 4 -5

Graphs of Sine and Cosine Functions Pre. Calclus 4 -5

 • Use the unit circle (paper plate) that was saved from the unit

• 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. Trigonometric Graphs - Activity

 • Put a straight line across two pieces of paper, and transfer the

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

 • Break pieces of spaghetti to the length of the y value (sine)

• 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. Trigonometric Graphs - Activity

 • With another piece of yarn, or a marker, connect all the tops

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

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Amplitude = 2 Period = π/2 Phase Shift = 1. 3 to the right

Amplitude = 2 Period = π/2 Phase Shift = 1. 3 to the right Trigonometric Graphs

Graph one complete period. Amplitude = 2 ½ / 2 Period = 2π/3 Phase

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

Trigonometric Graphs

Trigonometric Graphs

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

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

Trigonometric Graphs

Trigonometric Graphs

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

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

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

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