问题
填空题
函数f(x)=sin(x+
|
答案
y=sin(x+
)sin(x+π 3
)=(sinxcosπ 2
+cosxsinπ 3
)cosx=π 3
sinxcosx+1 2
cos2x=3 2
sin2x+1 4
?3 2
=1+cos2x 2
+3 4
sin(2x+1 2
)∴T=π.π 3
故填:π.
函数f(x)=sin(x+
|
y=sin(x+
)sin(x+π 3
)=(sinxcosπ 2
+cosxsinπ 3
)cosx=π 3
sinxcosx+1 2
cos2x=3 2
sin2x+1 4
?3 2
=1+cos2x 2
+3 4
sin(2x+1 2
)∴T=π.π 3
故填:π.