化简f(X)=(1-√2sin(2X-π/4))/cosX

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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
f(X)=(1-√2sin(2X-π/4))/cosX
=(1-√2·√2/2sin2x+√2·√2/2cos2x)/cosx
=(1-sin2x+cos2x)/cosx
=(1-sin2x+2cos^2x-1)/cosx
=(2cos^2x-2sinxcosx)/cosx
=2(cosx-sinx)