f(x)=sinx/2cosx/2+1/2sin(x+π/2)化简

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f(x)=sinx/2cosx/2+1/2sin(x+π/2)化简f(x)=sinx/2cosx/2+1/2sin(x+π/2)化简f(x)=sinx/2cosx/2+1/2sin(x+π/2)化简f

f(x)=sinx/2cosx/2+1/2sin(x+π/2)化简
f(x)=sinx/2cosx/2+1/2sin(x+π/2)化简

f(x)=sinx/2cosx/2+1/2sin(x+π/2)化简
f(x)=sinx/2cosx/2+1/2sin(x+π/2)
=1/2sinx+1/2cosx
=√2/2 sin(x+π/4)

f(x)=√3[1-cos2(x+π/4)]+[cos2x+1]-√3 =√3cos(2x+π/2)+cos2x+1 =-√3sin2x+cos2x+1 =2sin(2x+2π/3)+1