求证1+sina+cosa分之sin2a=sina+cosa-1 求指点呀!
问题描述:
求证1+sina+cosa分之sin2a=sina+cosa-1 求指点呀!
答
sin2a / (1+sina+cosa)=2sinacosa / (2sina/2cosa/2 +2cos^2 a/2)=4sina/2cosa/2 cosa / [2cosa/(sina/2+cosa/2)]=2sina/2(cos^2 a/2-sin^2 a/2) / (sina/2+cosa/2)=2sina/2(cosa/2-sina/2)=2sina/2cosa/2 -2sin^2 a...