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- Dec 7th 2006, 05:27 PMMr_GreenSin and Cos Graph
- Dec 7th 2006, 05:45 PMtopsquark
The general form will be

Since A is the amplitude, this part is easy: A = 3.

Now, we want a 0 of the sine function to be positioned at . We can do this by setting at , so we have the equation:

Again, we want a 0 of the sine function to be positioned at . We can do this by setting ( is the next zero for the sine function after 0) at , so we have the equation:

Solving the first equation for gives:

Inserting this into the second equation gives:

or

This gives

.

Thus

.

-Dan - Dec 7th 2006, 05:57 PMMr_Green
Thanks!

- Dec 7th 2006, 06:07 PMtopsquark
Close. You can do that in two ways. The first is to do it the same way I did below, except to use

( is a convenient first zero for cos)

(the next zero for cos after )

The other way is to recall that so to switch to cosine we need to "shave" a off the argument.

Either way I got:

-Dan