Trigonometry
Determine the exact value of the following trigonometric expression.
tan(11π12)+tan(π4)1−tan(11π12)tan(π4)\frac{\tan\left(\frac{11\pi}{12}\right)+\tan\left(\frac{\pi}{4}\right)}{1-\tan\left(\frac{11\pi}{12}\right)\tan\left(\frac{\pi}{4}\right)}1−tan(1211π)tan(4π)tan(1211π)+tan(4π)
−33-\frac{\sqrt3}{3}−33
3\sqrt33
33\frac{\sqrt3}{3}33
−3-\sqrt3−3