I need to fouriertransform the function
$$f(t) = \cos^2(\pi t)$$
First question is if there is some kind of theorem to solve it in a very easy way but I don't know what will happen to the square in the transformation.
Or second thought is to write it as F$\{\cos(\pi t)\}$$\times$ F$\{\cos(\pi t)\}$ and solve this.
Do you have any tips for me?
Thanks in advance