如何得到f(x)=|sinx+cosx|=|根号2sin(x+π/4)|?
问题描述:
如何得到f(x)=|sinx+cosx|=|根号2sin(x+π/4)|?
请写出详细的步骤
答
f(x)=|sinx+cosx|
=|√2(√2/2*sinx+√2/2*cosx|
=|√2(sinx*cosπ/4+cosx*sinπ/4)|
=|√2sin(x+π/4)|.