Prove that:

Take L.H.S.:
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Multiplying & Dividing by 2:
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{∵ 2 sin A sin B = cos (A – B) – cos (A + B);
2 sin A cos B = sin (A + B) + sin (A – B) &
2 cos A cos B = cos (A + B) + cos (A – B)}
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= tan A
= R.H.S.
Hence Proved
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