Sin & Cos Graphs
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Transcript of Sin & Cos Graphs
Sin & Cos Graphs
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_plus.html
y = sin Ѳ
0 2
3
2
22
3
2
2
Let’s explore the cosine graph.
http://www.mathcasts.org/gg/student/trig/cosine_unit_circle_degrees_plus.html
http://www.mathcasts.org/gg/student/trig/cosine_unit_circle_rad.html
y = cos Ѳ
0 2
3
2
22
3
2
2
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).
Transformations of Sine & Cosine Graphs
Transformation of sine
http://www.geogebra.org/en/upload/files/english/Roger_Moss/curve_transformations.html
y= A sin (kѲ+c) + d Amplitude = (A)
Period =
Phase Shift =
2
k
c
k
3sin 2y
sin 4 3y
2sin4
y
3sin 22 4
y
4cos 2y
2cos 12
y
Write the equation of the sine function with the following features.
Amplitude = 5 Period = 90° PS = 4°
Write the equation of the sine function with the following features.
Amplitude = 4
Period =
PS =
4
Homework
Worksheet #1