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7.8 Sinusoidal Graphs

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**Graph of y = sinx Period = 2π
Amplitude = max β min = 1 β β 1 = 1 2 2**

x y 1 β1 Period = 2π
Amplitude = max β min = 1 β β 1 = 1 2 2

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**General Sine Curve Weβll do c & d tomorrow**

If a is (+), typical sine curve If a is (β), reflect through x-axis

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**Ex 1) Graph y = 3sinx b = 1 c = 0 a = 3 d Amp = 3 Period = 2π
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β3 Amp = 3 Period = 2π
Increment length

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Ex 2) Graph y = sin2x b c a d = 2 = 0 = 1 1 β1 Amp = 1 Per: IL:

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**Graph of y = cosx Period = 2π
Amplitude = max β min = 1 β β 1 = 1 2 2**

x y 1 β1 Period = 2π
Amplitude = max β min = 1 β β 1 = 1 2 2

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**General Cosine Curve Weβll do c & d tomorrow**

If a is (+), typical cosine curve If a is (β), reflect through x-axis

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**Ex 3) Graph b = c = 0 a = β2 d Amp = 2 Per: IL:**

a = β2 ο reflect across x-axis

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Homework #720 Pg β 4 all, 13 β 20 all

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Warm up Use the Pythagorean identity to determine if the point (.623,.377) is on the circumference of the unit circle Using Pythagorean identity, solve.

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