Trigonometrical Ratios and Identities 3 Question 2

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

(1993)

Analytical & Descriptive Question

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Answer:

Correct Answer: 3. 13

Solution:

  1. Since, A+B=π3 and, we know product of term is maximum, when values are equal.

(tanAtanB) is maximum.

When A=B=π/6

i.e.

y=tanπ6tanπ6=13



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