tan²θ-tanθ+根号3-根号3tanθ=0,则θ=?

题目

tan²θ-tanθ+根号3-根号3tanθ=0,则θ=?
θ＜90° θ=多少度？

答案

tanθ（tanθ-1)-√3(tanθ-1)=0,
（tanθ-1)(tanθ-√3)=0,
tanθ=1,
θ=45°
tanθ=√3,
或,θ=60° .