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If A > 0, B > 0 and A + B = pi/3, then the maximum value of tan A tan B is .....

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If A > 0, B > 0 and A + B = pi/3, then the maximum value of tan A tan B is .....

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Since, A + B = pi/3 and we know product of terms is maximum when values are equal.

.'. (tan A . tan B) is maximum when A = B = pi/6

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