What does the Fourier transform of $\cos \pi x$ look like?

Question

If the operator $F$ means Fourier transform, what does the graph of $F[\cos \pi x] = \pi(\delta(\omega - \pi) + \delta(\omega + \pi)) $ look like?

I can see that this is two impulses which is exactly two upward pointing arrows at $\pm \pi$ representing infinity, but what does multiplying the impulses by $\pi$ do graphically?

Answer 1

This is a way of plotting it

In this representation, the actual value of the vertical scale does not give you any additional information