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Question

tan (A+B) = m , tan (A-B) = n , then cot2B=?

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Solution

tan 2B = tan ( (A + B) - (A -B) ) = ( tan ( A+ B ) - tan (A - B)) / 1 +tan ( A+ B ) tan (A - B) = (m - n) / 1 + mn

So Cot 2B=1+mn/m-n

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