ɑ and ẞ are two positive acute angles and cos 2ɑ= \( \frac{3 \cos{2} β - 1}{3 - \cos{2} β} \) Which of the following relation is correct?

A tanɑ =±tan 2β

B tan ɑ = √3 tanẞ

C tan ɑ=√3 cotẞ