Do you want a little math problem challenge?

It stems from the Three Squares Problem. Imagine you have a row of k squares lined end to end, such that the left side of one square is the right side of another. Lines are drawn from the top left corner of the first square to the bottom right corner of every square, such that an acute angle is formed at the base. Find a generalized solution to this problem using summation notation and trigonometry :DExtra: What happens if there's an infinite number of squares? :P