1 - cos a whole upon sin a = 2 sin a upon 1 + Cos A
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1 - cos A / sin A = sin A / 1 + cos A
LHS = 1 - cos A / sin A
Rationalise the denominator
Therfore
1 - cos A / sin A × sin A/sinA
sin A (1 - cos A)/sin² A
sin A (1 - cos A) / 1 - cos² A
sin A (1 - cos A) / (1 + cos A) (1- cos A)
=sin A / 1 + cos A
= RHS
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