题目内容
函数f(x)=sin(2x-
)-2
sin2x的最小正周期是________.
π
[解析] f(x)=sin(2x-
)-2
sin2x
=sin(2x-
)-
(1-cos2x)
=sin(2x-
)+
cos2x-![]()
=sin2xcos
-cos2xsin
+
cos2x-![]()
=
sin2x+
cos2x-
=sin(2x+
)-
,
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题目内容
函数f(x)=sin(2x-
)-2
sin2x的最小正周期是________.
π
[解析] f(x)=sin(2x-
)-2
sin2x
=sin(2x-
)-
(1-cos2x)
=sin(2x-
)+
cos2x-![]()
=sin2xcos
-cos2xsin
+
cos2x-![]()
=
sin2x+
cos2x-
=sin(2x+
)-
,