How can I Plot this graph??

Question

The function is:

sin(3*w*t)cos(5wt)

where -10<t<10 and w=(2*pi)/5

I don't have a program like mathematica to help me, So what can I do?

Answer 1

WinPlot is a free graphing program available for download at:

http://math.exeter.edu/rparris/winplot.h...

Just click on the word &quot;Winplot&quot; at the very top of the page.

Once you&#039;ve downloaded and opened the program, under the &quot;Window&quot; menu, select &quot;2-dim&quot;

Now, under the &quot;Equa&quot; (short for Equation) menu, select &quot;Explicit&quot;

This will open up a dialogue box for you to input your function.

WinPlot&#039;s functions are in terms of x, so you&#039;ll have to change your variable from t.  Also, you&#039;ll have to replace w with its actual value.

Your resulting function will look like: f(x) = sin((6pi/5)x)*cos(2pi*x)

You can even copy &amp; paste the right side of the equation into WinPlot.

The rest is just aesthetics, or how it looks.

If you want to zoom in or out on the graph, the easiest thing to do is set the corners of the grid:

Under the &quot;View&quot; menu, select &quot;View&quot;

Since your domain is -10&lt;t&lt;10, set the left bound to -10 and the right bound to 10 (if not already).  Then change how far up/down you&#039;d to see of the y-axis.  (I set mine at -2 and 2).  When you&#039;re done, click the &quot;apply&quot; button.

If you want to adjust the look of the grid (add labels or arrows to the ends of the axes, change the scale, etc.), under the &quot;View&quot; menu, select &quot;Grid&quot;

You may want to re-scale the x-axis in terms of pi.  To do that, enter &quot;pi&quot; or &quot;pi/2&quot; under &quot;interval&quot; for x.  Then check the &quot;scale&quot; box (for y, too, if you want the y-axis scaled) and check the &quot;pi&quot; box for x.

Again, click the &quot;apply&quot; button when you&#039;re done.

There&#039;s much more you can play around with to get your graph to look exactly the way you want it to.

Hope this helps.