已知tanx=2,则3sin2x+2cos2xcos2x?3sin2x的值为______

已知tanx=2,则3sin2x+2cos2xcos2x?3sin2x的值为______.
2025-06-21 02:05:00
推荐回答(1个)
回答1:

∵tanx=2,

3sin2x+2cos2x
cos2x?3sin2x
=
6sinxcosx+2(cos2x?sin2x)
cos2x?sin2x?6sinxcosx

=
6sinxcosx
sin2x+cos2x
+2×
cos2x?sin2x
cos2x+sin2x
cos2x?sin2x?6sinxcosx
sin2x+cos2x

=
6tanx
1+tan2x
+2×
1?tan2x
1+tan2x
1?tan2x?6tanx
1+tan2x

=?
7
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