100716 Graphs of SineCosine Day4.notebook
October 07, 2016
Friday, October 7, 2016
Trigonometry, Period 3
Lesson Overview:
• Warm Up
• Go over homework
• Graphing Trigonometric Functions
• Parent graphs of Sine and Cosine Functions
• Key points
• Amplitude, period, phase shift, vertical shift
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100716 Graphs of SineCosine Day4.notebook
October 07, 2016
Warm Up:
1. How does the amplitude of a trig function affect the appearance
of its graph?
2. How do we determine the numbers on the tickmarks that we put
on our x-axis?
3. How do we find the new starting point and new ending point for
one period of a sine or cosine function? Why?
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100716 Graphs of SineCosine Day4.notebook
October 07, 2016
Warm Up:
1.The amplitude determines the distance above and the distance below the midline of a trigonometric function's graph
2. Take the period (the distance x axis for one cycle to complete... from point 1 to point 5 of the five key points) and divide by 4. Take the quotient and add it to the new starting point. Add up by that same increment until you reach point 5.
3. Take (bx­c) and set equal to 0 for the new start because the generic sine or cosine function starts at x=0 (we want to capture the changes that happened to determine new start point)
Take (bx­c) and set equal to 2pi for the new end because the generic sine or cosine function ends at x= 2pi
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100716 Graphs of SineCosine Day4.notebook
October 07, 2016
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100716 Graphs of SineCosine Day4.notebook
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100716 Graphs of SineCosine Day4.notebook
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100716 Graphs of SineCosine Day4.notebook
October 07, 2016
Identify the key characteristics of each of the following functions.
Then GRAPH TWO FULL PERIODS of each function.
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100716 Graphs of SineCosine Day4.notebook
October 07, 2016
Identify the key characteristics of each of the following functions.
Then GRAPH TWO FULL PERIODS of each function.
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100716 Graphs of SineCosine Day4.notebook
October 07, 2016
Identify the key characteristics of each of the following functions.
Then GRAPH TWO FULL PERIODS of each function.
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100716 Graphs of SineCosine Day4.notebook
October 07, 2016
Identify the key characteristics of each of the following functions.
Then GRAPH TWO FULL PERIODS of each function.
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100716 Graphs of SineCosine Day4.notebook
October 07, 2016
Identify the key characteristics of each of the following functions.
Then GRAPH TWO FULL PERIODS of each function.
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100716 Graphs of SineCosine Day4.notebook
October 07, 2016
Homework: Graphing Sine and Cosine Functions Wkst 19
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