问题 解答题
求证:
1-2sinxcosx
cos2x-sin2x
=
1-tanx
1+tanx
答案

证明:∵左边=

1-2sinxcosx
cos2x-sin2x
=
cos2x+sin2x-2sinxcosx
cos2x-sin2x
=
(cosx-sinx)2
(cosx-sinx)×(cosx+sinx)
cosx-sinx
cosx+sinx
=
1-tanx
1+tanx
=右边

1-2sinxcosx
cos2x-sin2x
=
1-tanx
1+tanx
成立

单项选择题
单项选择题