Trigonometry
Determine the exact value of the following trigonometric expression.
tan100°−tan(−50°)1+tan100°tan(−50°)\frac{\tan100\degree-\tan\left(-50\degree\right)}{1+\tan100\degree\tan\left(-50\degree\right)}1+tan100°tan(−50°)tan100°−tan(−50°)
−3-\sqrt3−3
3\sqrt33
−33-\frac{\sqrt3}{3}−33
33\frac{\sqrt3}{3}33