Sin & Cos Graphs - Anderson School District Five

Sin & Cos Graphs Lets 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 2 3 2

2 0

2 3 2 2

Lets 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 2 3 2

2 0

2 3 2 2

Lets graph it on the calculator. Make sure the calculator is in radian mode Type sin(x) in y1 Press zoom trig Now lets 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 (k+c) + dc) +c) + d d Amplitude = (A) Period 2

k Phase = Shift = c

k y 3sin 2 y sin 4 3

y 2sin 4 y 3sin 2 2 4 y 4 cos 2

y 2 cos 1 2 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 = 4 PS =

Homework Worksheet #1