Question

$(cosec - cot) {}^{2} = 1 - cos \div 1 + cos$
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Answer 1

Answer:

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Answer 2

$( \csc( \alpha ) - \cot( \alpha ) ) {}^{2} = \frac{1 \ - cos( \alpha ) }{1 + \cos( \alpha ) }$

$= \frac{((1 - \cos( \alpha ) ) {}^{2} }{1 - \cos {}^{2} ( \alpha ) }$

$= rhs$

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LHS

$= ( \frac{1}{ \sin( \alpha ) } - \frac{ \cos( \alpha ) }{ \sin( \alpha ) } ) {}^{2}$

$= ( \frac{1 - \cos( \alpha ) }{ \sin( \alpha ) } ) {}^{2}$