高中函数求化简,麻烦写出基础公式

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cos(a-b)=cosacosb+sinasinb
f(x)=√2[sin(2x+pi/4)*(√2/2)+cos(2x+pi/4)*(√2/2)]
=√2[sin(2x+pi/4)*sin(pi/4)+cos(2x+pi/4)*cos(pi/4)]
=√2cos2x