Integer Tangents

Geometry Level 3

In a triangle A B C ABC it is given t a n A tan A , t a n B tan B , t a n C tan C are integers. Find the value of

tan ⁡ 2 A + tan ⁡ 2 B + tan ⁡ 2 C \tan ^2 A + \tan ^2 B + \tan ^2 C


The answer is 14.

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Danish Ahmed by Danish Ahmed , 24, India

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1 solution

Ahmad Saad
Oct 28, 2015

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