f(x)=sin(2wx)+√3cos(2wx)怎么化成f(x)=sin(2wx+π/3)

问题描述:

f(x)=sin(2wx)+√3cos(2wx)怎么化成f(x)=sin(2wx+π/3)

解f(x)=sin(2wx)+√3cos(2wx)
=2[1/2sin(2wx)+√3/2cos(2wx)]
=2[cos60°sin(2wx)+sin60°cos(2wx)]
=2sin(2wx+π/3)