Graphs of Sine and Cosine

Parent Function Graph y=sinx

The Graph of Sine shows the sine value for different radian measurements on the Unit Circle. The beginning and end of a sine graph is at the sinusoidal axis and crosses the sinusoidal axis at the half-way point. This graph shows that at a value of 0 radians the sine value of that angle on the unit circle is 0, at 1/2π radians the sine function of that angle is 1 on the unit circle, etc.

y=AsinB(x-C)+D

A= Amplitude (Vertical Stretch or Shrink)

B= Horizontal Stretch or Shrink

C= Horizontal Shift

D= Vertical Shift

Steps for Graphing the Sine Function:

1. Always start with D to determine the sinusoidal axis

-In the graph to the right, D=0, therefore the sinusoidal axis is at 0 on the y-axis

2. Determine the Amplitude

-Plot the maximum and minimum y values of your graph

-In this graph, the amplitude is 1 because A=1

3. Determine the period

-To find the period use the equation 2π/B

-The period here is 2π because B=1

4.Graph

-The graph on the right is graphed

5. Label Axis

-Y-axis and X-axis

http://www.youtube.com/watch?v=Z708_EEZc0M&feature=youtube_gdata_player

y=AsinB(x-C)+D

A= Amplitude (Vertical Stretch or Shrink)

B= Horizontal Stretch or Shrink

C= Horizontal Shift

D= Vertical Shift

Steps for Graphing the Sine Function:

1. Always start with D to determine the sinusoidal axis

-In the graph to the right, D=0, therefore the sinusoidal axis is at 0 on the y-axis

2. Determine the Amplitude

-Plot the maximum and minimum y values of your graph

-In this graph, the amplitude is 1 because A=1

3. Determine the period

-To find the period use the equation 2π/B

-The period here is 2π because B=1

4.Graph

-The graph on the right is graphed

5. Label Axis

-Y-axis and X-axis

http://www.youtube.com/watch?v=Z708_EEZc0M&feature=youtube_gdata_player