sin(x+丌/4)cos(x-丌/4)=sin(x+丌/4)^2 为什么?求赐教,
问题描述:
sin(x+丌/4)cos(x-丌/4)=sin(x+丌/4)^2 为什么?求赐教,
答
cos(x-丌/4)=sin(π/2-(x-π/4))=sin(3π/4-x)=sin(3π/4-x+π)=sin(x+π/4)
所以sin(x+丌/4)cos(x-丌/4)=sin(x+丌/4)^2