Question

f(x)=sin(x^2)+(√3)sinxcosx+2cos(x^2) 化简

Answer 1

f(x)=(sinx)^2+√3*sinxcosx+2(cosx)^2

=(sinx)^2+(cosx)^2+√3*sinxcosx+(cosx)^2

=1+√3*sinxcosx+(cosx)^2

=1+√3/2*sin2x+(cosx)^2

=1+√3/2*sin2x+(1+cos2x)/2

=3/2+√3/2*sin2x+1/2*cos2x

=3/2+sin(2x+π/3)