Question

prove that cot A/ cotB +tanB/tanA=cotAtanB
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Answer 1

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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