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Sin & Cos Graphs

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Let’s explore the sine graph! http://www.mathcasts.org/gg/student/trig/sine _unit_circle_degrees.html http://www.mathcasts.org/gg/student/trig/sine _unit_circle_degrees.html http://www.mathcasts.org/gg/student/trig/sine _unit_circle_degrees_plus.html http://www.mathcasts.org/gg/student/trig/sine _unit_circle_degrees_plus.html

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y = sin Ѳ 0

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Let’s explore the cosine graph. http://www.mathcasts.org/gg/student/trig/cosi ne_unit_circle_degrees_plus.html http://www.mathcasts.org/gg/student/trig/cosi ne_unit_circle_degrees_plus.html http://www.mathcasts.org/gg/student/trig/cosi ne_unit_circle_rad.html http://www.mathcasts.org/gg/student/trig/cosi ne_unit_circle_rad.html

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y = cos Ѳ 0

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Let’s graph it on the calculator. Make sure the calculator is in radian mode Type sin(x) in y1 Press zoom trig Now let’s look at y = cos(x).

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Transformations of Sine & Cosine Graphs

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Transformation of sine http://www.geogebra.org/en/upload/files/engli sh/Roger_Moss/curve_transformations.html http://www.geogebra.org/en/upload/files/engli sh/Roger_Moss/curve_transformations.html

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y= A sin (k Ѳ+c) + d Amplitude = (A) Period = Phase Shift =

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Write the equation of the sine function with the following features. Amplitude = 5 Period = 90° PS = 4°

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Write the equation of the sine function with the following features. Amplitude = 4 Period = PS =

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Homework Worksheet #1

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4.5 – Graphs of Sine and Cosine A function is periodic if f(x + np) = f(x) for every x in the domain of f, every integer n, and some positive number p.

4.5 – Graphs of Sine and Cosine A function is periodic if f(x + np) = f(x) for every x in the domain of f, every integer n, and some positive number p.

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