trigonometry - How can I simplify $frac{sin(1) + sin(2) + cdots + sin(100)}{cos(1) + cos(2) + cdots +cos(100)}$

So I was asked to simplify the expression
$$\frac{\sin(1) + \sin(2) + \cdots + \sin(100)}{\cos(1) + \cos(2) + \cdots + \cos(100)}.$$ I'm struggling to find a way of doing it.

I'd like just hints rather than a whole solution if possible.

Thanks in advance