Trigonometry
Write the given trigonometric expression in terms of α\alphaα only.
tan(π3+α)\tan\left(\frac{\pi}{3}+\alpha\right)tan(3π+α)
3+tanα1−3tanα\frac{\sqrt3+\tan\alpha}{1-\sqrt3\tan\alpha}1−3tanα3+tanα
3−tanα1−3tanα\frac{\sqrt3-\tan\alpha}{1-\sqrt3\tan\alpha}1−3tanα3−tanα
3−tanα1+3tanα\frac{\sqrt3-\tan\alpha}{1+\sqrt3\tan\alpha}1+3tanα3−tanα
3+tanα1+3tanα\frac{\sqrt3+\tan\alpha}{1+\sqrt3\tan\alpha}1+3tanα3+tanα