Question

prove that cos theta /1 +sin theta =1-sin theta/cos theta​

Answer 1

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• $\frac{cos \: theta}{1 + sin \: theta} \times \frac{1 - sin \: theta}{1 - sin \: theta}$
• $= \frac{cos \: theta(1 - sin \: theta)}{ {cos}^{2} \: theta }$
• $= \frac{1 - sin \: theta}{cos \: theta} = r.h.s.$