求y=sin(x/2)+cos(x/2)在(-2派,2派)内的单调递增区间
问题描述:
求y=sin(x/2)+cos(x/2)在(-2派,2派)内的单调递增区间
答
y=sin(x/2)+cos(x/2)=根2sin(x/2+派/4),x∈(-2派,2派),(x/2+派/4)∈(-3派/4,5派/4),-派/2
求y=sin(x/2)+cos(x/2)在(-2派,2派)内的单调递增区间
y=sin(x/2)+cos(x/2)=根2sin(x/2+派/4),x∈(-2派,2派),(x/2+派/4)∈(-3派/4,5派/4),-派/2