[cos40°+sin50°(1+√3tan10°)]/[sin70°√(1+cos40°)]=?
问题描述:
[cos40°+sin50°(1+√3tan10°)]/[sin70°√(1+cos40°)]=?
答
cos40°+sin50°×(1+√3tan10°) =cos40°+sin50°×(tan60°-tan10°)/tan50° =cos40°+(tan60°-tan10°)cos50° =cos40°+√3cos50°-tan10°cos50° =cos40°+√3sin40°-tan10°sin40° =2[(1/2)cos40+...