Question

prove that √1 -cos ¶ / 1 + cos¶ = cosec¶ - cot ¶
please give the answer fast
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Answer 1

Answer:

$\sqrt{ \frac{1 - cosx}{1 + cosx} } \\ on \ \: rationalization \\ \sqrt{ \frac{1 - cosx}{1 + cosx} \times \frac{1 - cosx}{1 - cosx} } \\ = \sqrt{ \frac{ {(1 - cosx)}^{2} }{1 - {cos}^{2} x} } \\ = \sqrt{ \frac{ {(1 - cosx)}^{2} }{{sin}^{2} x} } \\ = \frac{1 - cosx}{sinx} \\ = \frac{1}{sinx} - \frac{cosx}{sinx} \\ = cosecx \: - cotx$

Answer 2

Answer:

this is correct......................