函数y=2sin2x+3cos2x-4的最小正周期为_.

问题描述:

函数y=2sin2x+3cos2x-4的最小正周期为______.

∵y=2sin2x+3cos2x-4
=y=2+cos2x-4
=

1
2
+
1
2
cos2x-2
=
1
2
cos2x-
3
2

∴三角函数的周期T=
2
=π

故答案为:π