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**Graphing Trig Functions**

Graphing Trig Functions SAMM Sections 2.7 and 2.8 Amplitude and Period - Notes

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Graphing Terminology Amplitude—The maximum or minimum vertical distance between the graph and the x-axis. Amplitude is always positive because it is a distance. Period--The number of degrees or radians we must graph before it begins to repeat.

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Amplitude Amplitude Period

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**This number controls the period.**

Trig Functions Trig functions are written in the form of y = AsinBx or y = AcosBx y= 5 sin 2x This number controls the period. Amplitude

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**Graphing Sine and Cosine**

To find the period length —

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**To find the angles to use for graphing –**

Find the sum of the beginning and end angles and divide by two. Repeat step 2 with the beginning and middle angles. Do the same with the middle and end angles.

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**Quick graph of the Cosine function is Max-Zero-Min-Zero-Max**

Quick graph of the Sine function is Zero-Max-Zero-Min-Zero Quick graph of the Cosine function is Max-Zero-Min-Zero-Max Sketch a sine or cosine curve Based on the points graphed.

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**The amplitude is ? The period length is?. Example #1 y= 2sin4x**

Answer is 2. Remember, amplitude is always a positive number . The period length is?.

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Graph y = 2sin4x

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**The amplitude is ? The period length is?. Example #2 y= -3cos2x**

Answer is 3. Remember, amplitude is always a positive number . The negative means the graph will be flipped when graphed – How does this happen? The period length is?.

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Graph y = -3cos2x

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Graphing Sine and Cosine. Graphing Calculator Mode— Radians Par Simul Window— –X min = -1 –X max = 2 –X scale = /2 Window— –Y min = -3 –Y max = 3.

Graphing Sine and Cosine. Graphing Calculator Mode— Radians Par Simul Window— –X min = -1 –X max = 2 –X scale = /2 Window— –Y min = -3 –Y max = 3.

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