Z1=sinA+(cosA)i,Z2=1-i,且z1*z2为纯虚数
z1*z2=sinA+(cosA)i-sinAi+cosA
=(sinA+cosA)+(cosA-sinA)i
sinA+cosA=0
tanA=-1
f(x)=cos2x+tanAcosx+3
=cos2x-cosx+3
=2cos^2x-cosx+2
=2(cosx-1/4)^2+15/8
值域:[15/8,5]
Z1=sinA+(cosA)i,Z2=1-i,且z1*z2为纯虚数
z1*z2=sinA+(cosA)i-sinAi+cosA
=(sinA+cosA)+(cosA-sinA)i
sinA+cosA=0
tanA=-1
f(x)=cos2x+tanAcosx+3
=cos2x-cosx+3
=2cos^2x-cosx+2
=2(cosx-1/4)^2+15/8
值域:[15/8,5]