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Prove that 1 - cosA + cosB - cos(A+B)/1 + cosA - cosB - cos(A + B) = tan A/2 cot B/2

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Prove that

1 - cosA + cosB - cos(A+B)/1 + cosA - cosB - cos(A + B) = tan A/2 cot B/2

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L.H.S

= tan A/2 cot B/2

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