化简f(X)=(1-√2sin(2X-π/4))/cosX

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化简f(X)=(1-√2sin(2X-π/4))/cosX

化简f(X)=(1-√2sin(2X-π/4))/cosX
化简f(X)=(1-√2sin(2X-π/4))/cosX

化简f(X)=(1-√2sin(2X-π/4))/cosX
f(X)=(1-√2sin(2X-π/4))/cosX
=[1-√2(sin2x*cosπ/4-cosx*sinπ/4)]/cosx
=(1-sin2x+cos2x)/cosx
=(1-sin2x+2(cosx)^2-1)/cosx
=(2(cosx)^2-2sinxcosx)/cosx
=2cosx(cosx-sinx)/cosx
=2(cosx-sinx)
或者再简化=2√2cos(x+π/4)