answersLogoWhite

0

The simplest way is to use a graphing calculator such as a TI-83.

To enter in the graph do the following...

1) Hit "Y=" (It should be located in the upper left hand corner)

2) Enter the function = 4 sin (3x)

Use the X,T,Theta,N button for "x"

3) Hit "Graph"

Please note, make sure your calculator is in Degree Mode, and the graph is set to a "Functional" graph. To check this hit the mode button.

Degree and Func should be highlighted.

--------------------------------------------------------------------------

You can also draw this by hand here's how...

First you need to understand the important values of sin x

sin(0) = 0

sin(30) = ½

sin(60) = √3 / 2

sin(90) = 1

sin(120) = √3 / 2

sin(150) = ½

sin(180) = 0

These are important because they are part of the unit circle.

Notice the repeating pattern.

The important points are 0, 30, 90, 150, 180

We can plot those on a graph then we see an oscillating wave that repeats.

But this would be for ƒ(x) = sin (x)

Instead the 3x on the inside means we are looking for values which make our sin the same

We find these by dividing the special points by 3.

0,10,30,50,60

So on those x values we will put a coordinates.

Now we have to determine the y values of the coordinates.

To find these we just multiply by the coefficient 4.

4 sin (3*00) = 0

4 sin (3*10) = 4/2 = 2

4 sin (3*30) = 4

4 sin (3*50) = 4/2 = 2

4 sin (3*60) = 0

Now we have our points

(00,00)

(10,02)

(30,04)

(50,02)

(60,00)

We plot these and then connect them on a graph to create an oscillating wave...

User Avatar

Wiki User

14y ago

Still curious? Ask our experts.

Chat with our AI personalities

JudyJudy
Simplicity is my specialty.
Chat with Judy
MaxineMaxine
I respect you enough to keep it real.
Chat with Maxine
RafaRafa
There's no fun in playing it safe. Why not try something a little unhinged?
Chat with Rafa

Add your answer:

Earn +20 pts
Q: How do you graph y equals 4 sin 3x?
Write your answer...
Submit
Still have questions?
magnify glass
imp