问题
解答题
已知tanx=2, (1)求
(2)求2sin2x-sinxcosx+cos2x的值. |
答案
(1)
=cosx+sinx cosx-sinx
=1+tanx 1-tanx
=-31+2 1-2
(2)2sin2x-sinxcosx+cos2x=
=2sin2x-sinxcosx+cos2x sin2x+cos2x
=2tan2x-tanx+1 tan 2x+1 7 5
已知tanx=2, (1)求
(2)求2sin2x-sinxcosx+cos2x的值. |
(1)
=cosx+sinx cosx-sinx
=1+tanx 1-tanx
=-31+2 1-2
(2)2sin2x-sinxcosx+cos2x=
=2sin2x-sinxcosx+cos2x sin2x+cos2x
=2tan2x-tanx+1 tan 2x+1 7 5