化解Y:
分子=sinx+2=2sin(x/2)cos(x/2)+2sin(x/2)^2+2cos(x/2)^2
分母=2sin(x/2)^2
所以Y=(cos(x/2)/sin(x/2))^2+cos(x/2)/sin(x/2)+1
设u=cos(x/2)/sin(x/2)=cot(x/2)
则Y=u^2+u+1
下面相当于求抛物线的值域了哦
化解Y:
分子=sinx+2=2sin(x/2)cos(x/2)+2sin(x/2)^2+2cos(x/2)^2
分母=2sin(x/2)^2
所以Y=(cos(x/2)/sin(x/2))^2+cos(x/2)/sin(x/2)+1
设u=cos(x/2)/sin(x/2)=cot(x/2)
则Y=u^2+u+1
下面相当于求抛物线的值域了哦