若∠α为锐角,且3(tanα)^2-4根号3(tanα)+3=0,则α的度数?

问题描述:

若∠α为锐角,且3(tanα)^2-4根号3(tanα)+3=0,则α的度数?

3(tanα)^2-4根号3(tanα)+3=0
(3tanα-根号3)(tanα-根号3)=0
tanα=根号3/3,或tanα=根号3
∠α为锐角
α=30°,或α=60°