Question

Find the amplitude and period of the function?

-5sin(4pix)

Answer 1

So a general formula for a periodic function is as follows:
\[
A\sin{2\pi f x}
\]
Where \(|A|\) will be the amplitude, and \(f\) will be the frequency, which is one over the period (\(P=\frac{1}{f}\)).

Answer 2

Can you get the answer from that?

Answer 3

I don't understand the P=1/f part?

Answer 4

Well, P is the period. And \(f\) is the frequency. That's just saying the reciprocal of the frequency is the period.

Answer 5

In the argument of your function you have 4*Pi*x. Your objective should be to make this match the form of 2*Pi*f*x. Then, your F is the denominator of your P=1/f.

Answer 6

Ok, Thanks. One more y= 7sin (1/2(x+pi/3))

Answer 7

Well, a more general form of the equation is:
\[
A\sin(2\pi f x + \phi)
\]
This means all you have to do is multiply out the things inside the parentheses, and then fit them to find what your \(f\) is.