The conversation between human and AI assistant.
[math]tan\alpha +tan\beta +tan\gamma =tan\gamma *tan\alpha *tan\beta[/math] where [math]\alpha +\beta +\gamma =180\deg[/math]?
Right, that makes sense. But how does the equation work mathematically?
Well, I can break it down a bit. First, the left side of the equation is just the sum of the tangents of the three angles. The right side of the equation is the product of those same tangents. If you expand the product on the right side, you get [math]tan\gamma *tan\alpha *tan\beta[/math]. So the equation just says that these two expressions are equal.