f(x)=4sin^2(π/4+x)-2根号3cos2x-1化简!

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f(x)=4sin^2(π/4+x)-2根号3cos2x-1化简!

f(x)=4sin^2(π/4+x)-2根号3cos2x-1化简!
f(x)=4sin^2(π/4+x)-2根号3cos2x-1化简!

f(x)=4sin^2(π/4+x)-2根号3cos2x-1化简!
f(x)=4sin^2(π/4+x)-2根号3cos2x-1
=-(2-4sin^2(π/4+x)+2根号3cos2x+1-2)
=-(2cos(π/2-2x)+2根号3cos2x)+1
=-(2sin2x+2根号3cos2x)+1
=-4(1/2sin2x+根号3/2cos2x)+1
=-4(cos60°sin2x+sin60°cos2x)+1
=-4sin(2x+60°)+1

f(x)=4sin^2(π/4+x)-2厂3cos2x-1
=-(2-4sin^2(π/4+x)+2厂3cos2x+1-2)
=-(2cos(π/2-2x)+2厂3cos2x)+1
=-(2sin2x+2 厂3cos2x)+1
=-4(1/2sin2x+ 厂3/2cos2x)+1
=-4(cos60°sin2x+sin60°cos2x)+1
=-4sin(2x+60°)+1

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