Question

If A > 0, B > 0 and A + B = π/6 then the minimum value of tanA + tanB is

(A)   √3 - √2

(B)   4 - 2√3

(C)   2/√3

(D)   2 - √3

Answer 1

Correct option (B)  (B)  4 - 2√3

We have A > 0, B > 0 and A + B = π/6. Therefore,

For the maximum value of tan A + tan B, A = B. Therefore, from the above equation, we get