If \( \mathrm{A}, \mathrm{B}, \mathrm{C} \) are angles of a triangle, prove that \( \frac{\tan (...
If \( \mathrm{A}, \mathrm{B}, \mathrm{C} \) are angles of a triangle, prove that \( \frac{\tan (B+C)+\tan (C+A)+\tan (A+B)}{\tan (\pi-A)+\tan (2 \pi-B)+\tan (3 \pi-C)}=1 \). Hint. \( A+B+C=\pi \).
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