Question

show that √1-cos theta /1+ cos theta = cosec theta - cose theta​

Answer 1

$\sqrt{ \frac{1 - cos \theta}{1 + cos \theta} } \\ \\ = \sqrt{ \frac{1 - cos \theta}{1 + cos \theta} \times \frac{1 - cos \theta}{1 - cos \theta} } \\ \\ = \sqrt{ \frac{( {1 - cos \theta})^{2} }{ {sin}^{2} \theta } } \\ \\ = \frac{1 - cos \theta}{sin \theta} \\ \\ = cosec \theta - cot \theta$