化简 f(x)= -sin(2x+π/4)+cos(2x+π/4)

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化简 f(x)= -sin(2x+π/4)+cos(2x+π/4)

f(x)= -sin(2x+π/4)+cos(2x+π/4)
=-√2[√2/2*sin(2x+π/4)-√2/2*cos(2x+π/4)]
=-√2sin(2x+π/4-π/4)
=-√2sin2x