f(x)=4sin^2(π/4+x)-2根号3cos2x-1化简!
问题描述:
f(x)=4sin^2(π/4+x)-2根号3cos2x-1化简!
答
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
答
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+...