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Question

Prove that : tanAtanBcotBcotA=tanBcotA

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Solution

tanAtanBcotBcotA = tanAtanB1tanB1tanA

= tanAtanB(tanAtanBtanBtanA)=(tanAtanB).tanB.tanA(tanAtanB)

= tan B tan A = tanBcotA LHS = RHS


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