f(x)=sin(2x)+cos(2x)+1是怎么化成√2sin(2x+π/4)+1

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f(x)=sin(2x)+cos(2x)+1是怎么化成√2sin(2x+π/4)+1f(x)=sin(2x)+cos(2x)+1是怎么化成√2sin(2x+π/4)+1f(x)=sin(2x)+cos

f(x)=sin(2x)+cos(2x)+1是怎么化成√2sin(2x+π/4)+1
f(x)=sin(2x)+cos(2x)+1是怎么化成√2sin(2x+π/4)+1

f(x)=sin(2x)+cos(2x)+1是怎么化成√2sin(2x+π/4)+1
f(x)=sin(2x)+cos(2x)+1=√2[(√2/2)sin(2x)+(√2/2)cos(2x)]+1
=√2[sin(2x)cosπ/4+sinπ/4cos(2x)]+1
=√2sin(2x+π/4)+1