If `A >0,B >0a n dA+B=pi/3,`the maximum value of `tanAtanB`is______ – InterviewSolution

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1.	If `A >0,B >0a n dA+B=pi/3,`the maximum value of `tanAtanB`is______
Answer» Correct Answer - `(1)/(3)` Since, A+b `=(pi)/(3)` and, we know product of term is maximum, when values are equal. `therefore(tan A. tan B)` is maximum. When A = B = `pi//6` i.e. `y = tan.(pi)/(6)tan.(pi)/(6)=(1)/(3)`

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