cot A +tan B/cot B +tan A= cot A tan B
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Answer:
LHS: cotA + tanB / cotB + tanA
= (cotA + 1/cotB) / (cotB + 1/cotA)
= (cotAcotB + 1) / cotB / (cotAcotB + 1) / cotA
= cotA / cotB
= cotAtanB
= RHS
hence proved.
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