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what algebraic relation holds for a,b,c
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if \[\tan a+ \tan b+\tan c=\tan a \tan b \tan c\]
a+b+c=180 i guess ,like a triangle
Not sure if I understand the question, but what if a = b = c = 0?
\[\tan(a+b)=\frac{ \tan a+\tan b }{ 1-\tan a \tan b }\]
\[\tan(180-(a+b))=\tan c\] \[\tan c-\tan a \tan b \tan c=\tan a \tan b\]
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thatsy i say\[a+b+c=180\]
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