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