f(x)=(sinx+cosx)sinx-2sin(x+π/4)sin(x-π/4),若tana=2,求f(a)

wh2857889 1年前 已收到2个回答 举报

zcbsydddcvm 幼苗

共回答了11个问题采纳率:100% 举报

f(x)=(sinx+cosx)sinx-2sin(x+π/4)sin(x-π/4)=sin^2x+sinxcosx-(sinx+cosx)(sinx-cosx)
=sinxcosx+cos^2x =(sinxcosx+cos^2x )/(sin^2x+cos^2x)=(tanx+1)/(tan^2x+1)
f(a)=3/5

1年前

1

sunnyguo816 幼苗

共回答了2个问题 举报

f(x)=(sinx+cosx)sinx-2sin(x+π/4)sin(x-π/4)
=sin^2+sinxconx-(sinx+cosx)(sinx-cosx)
=sin^2+sinxconx-sinx^2+cosx^2
=(tanx+1)/cos^2
f(a)=(tana+1)/coxa^2
=3/5

1年前

2
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