y=(2(sinx)^2+1)/sin2x的值域

问题描述:

y=(2(sinx)^2+1)/sin2x的值域

y=(2(sinx)^2+1)/sin2x
= (2-cos2x)/sin2x
=(3tanx+1/tanx) /2
tanx>0 (3tanx+1/tanx) /2 ≥2√3tanx X 1/tanx=√3
tanx