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Prove that $ \displaystyle \frac{sin \theta}{1 + cos \theta} + \frac{1 + cos \theta}{sin \theta} = 2 cosec \theta$.
Prove that $ \displaystyle \frac{sin \theta}{1 + cos \theta} + \frac{1 + cos \theta}{sin \theta} = 2 cosec \theta$.
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