SOLUTION: Hello, This week we are learning how to graph the graphs of sin and cosine. I need help with graphing this one particular equation which says:y=5sin 3x I know how to do the proces

Algebra ->  Trigonometry-basics -> SOLUTION: Hello, This week we are learning how to graph the graphs of sin and cosine. I need help with graphing this one particular equation which says:y=5sin 3x I know how to do the proces      Log On


   

Question 902810: Hello, This week we are learning how to graph the graphs of sin and cosine. I need help with graphing this one particular equation which says:y=5sin 3x
I know how to do the process, but I am having trouble dealing with the 3x part? Like I realize the 5 is my amplitude, the vertical shift is 0, and my period is 2pi/1, but I don't know what my phase shift is. Can anyone help? Thanks in advance.
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+5sin%28x%29%2C+5sin%283x%29%29+
The red line is the graph of 5sin(x)
The green line is the graph of 5sin(3x)
With the sin(3X), you are actually dividing the period by 3.
An example of a phase shift would be sin(x-2) would shift the graph to the right 2 units.
Here is a link to purplemath that has a helpful description on graphing trigonometric functions.
http://www.purplemath.com/modules/grphtrig.htm