1ohkkk.let me solve...
if A>0, B>0, and A+B = pi/3, then what is the maximum value of tanA.tanB ??
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8 Answers
62use tan x is an increasing function between 0 and pi/3
and then take the tan of A+B
then expand .. i think this hint should help..
To be true i havent solved till the end.. but i believe this can be pulled off using this.. just give it a shot.. or i wll post the full soln :)
1how can i interpret the maximum value of tanA.tanB from the expression - √3 - √3tanA.tanB = tanA + tan B
62hmm... so first write the expression for tanA tanB
then u should try and get the benefit of the fact that tanA and tan B is increasing!
u know B in terms of A!!
62√3 - (tanA + tan B) = √3tanA.tanB
maximum when tan A + tan B is minimum!
right?
so tan A + tan (pi/3-A) is minimum!
right?
Now what? think it.