Trigonometry! #38

Geometry Level 4

Let aa, bb and cc be positive real numbers such that θ=tan1a(a+b+c)bc+tan1b(a+b+c)ca+tan1c(a+b+c)ab\theta=\tan^{-1} \sqrt{\frac {a(a+b+c)}{bc}} + \tan^{-1} \sqrt{\frac {b(a+b+c)}{ca}} + \tan^{-1} \sqrt{\frac {c(a+b+c)}{ab}} Then find the value of tanθ\tan \theta.

This problem is part of the set Trigonometry.

×

Problem Loading...

Note Loading...

Set Loading...