Evaluating Sine

Calculus Level pending

\[\frac {-\sin \left(-1^\circ\right) -\sin \left(-2^\circ\right) -\sin \left(-3^\circ\right)-\cdots -\sin \left(-89^\circ\right)}{\cos \left(-1^\circ\right) +\cos \left(-2^\circ\right) + \cos \left(-3^\circ\right) + \cdots + \cos \left(-89^\circ\right)} = \ ?\]

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