Question

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

Sol:

(Cot A + Cosec A - 1) / (Cot A - Cosec A + 1)

= (Cot A + Cosec A) - (Cosec2 A - Cot2 A) / (Cot A - Cosec A + 1)

= (Cot A + Cosec A) [1 - Cosec A + Cot A) / (Cot A - Cosec A + 1)]

= (Cot A + Cosec A)

= (Cos A/Sin A  + 1/Sin A)

= (1 + Cos A) / Sin A

Hence proved.

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