Question

$\sqrt{1 - \cos(o ) } \div \sqrt{1 + \cos(o) } = cosec \: o - \cot(o)$
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Answer 1

Answer:

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Answer 2

LHS

= ( √ 1 - cosθ ) / ( √ 1 + cosθ )

= √ ( 1 - cosθ / √ 1 + cosθ )

= √ [ ( 1 - cosθ) (1 - cosθ ) ] / [ ( 1 - cosθ) (1 + cosθ ) ]

= √ [ ( 1 - cosθ ) ² / ( 1 - cos²θ)]

= ( 1 - cosθ ) / sinθ

= ( 1/ sinθ) - (cos θ / sinθ)

= cosec θ - cot θ

= RHS

HENCE THE PROOF FOLLOWS