化简{1+sina-2[sin(45°-a/2)]^2}÷[4cos(a/2)]
问题描述:
化简{1+sina-2[sin(45°-a/2)]^2}÷[4cos(a/2)]
答
{1+sina-2[sin(45°-a/2)]^2}÷[4cos(a/2)]
=﹛1+sina-[1-cos(90°-a﹚]﹜/[4cos(a/2)]
=[1+sina-﹙1-sina﹚]/[4cos(a/2)]
=2sina/[4cos(a/2)]
=4sin(a/2)cos(a/2)/[4cos(a/2)]
=sin(a/2﹚