|sinx+cosx|=/2*|sin(x+π/4)|的推导过程

问题描述:

|sinx+cosx|=/2*|sin(x+π/4)|的推导过程
希望能写出上式的详细过程

sinx+cosx=1×sinx+1×cosx
=sinx × cosπ/4+cosx × sinπ/4
=sin(x+π/4)