# 2 pi term in sinusoidal signal

My intuition is that the $2\pi$ term in the sinusoidal signal equation:

$$x(t) = \sin(2\pi\,f\,t)$$

Is indicative of the fact that this signal can be described as movement around a circle, is that correct?

And the sin component is describing the path it takes about that circle?

*Due to a lack of reputation I'm unable to properly tag this inquiry, would someone please help me remedy that.

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The $2\pi$ in the equation is to make the $f$ represent cycles per second (assuming $t$ is in seconds). For example, if $f=10$, then the sine wave $\sin(2\pi\,10\,t)$ will crest 10 times from $t=0$ to $t=1$.
@matthias.anglicus If you put your symbols inside of dollar signs you can use latex like : \$\sin(2\pi f t)\$, and I think the easiest way to learn latex is to right click on other people's post and choose "show math as $\rightarrow$ tex commands". – DanielV May 1 '14 at 20:54