The right reciprocal

Geometry Level 3

\[\dfrac{\displaystyle\sum_{k=1}^{44}\cos{k^{\circ}}}{\displaystyle\sum_{k=1}^{44}\sin{k^{\circ}}}-\dfrac{\displaystyle\sum_{k=1}^{44}\sin{k^{\circ}}}{\displaystyle\sum_{k=1}^{44}\cos{k^{\circ}}}=\ ?\]