问题
选择题
已知函数f1(x)=3sin(2x-
|
答案
函数f(x)=f1(x)+f2(x)
=3sin(2x-
)+4sin(2x+π 3
)π 3
=3sin2xcos
-3cos2xsinπ 3
+4sin2xcosπ 3
+4cos2xsinπ 3 π 3
=7sin2xcos
+cos2xsinπ 3 π 3
=
sin2x+7 2
cos2x3 2
=
sin(2x+θ).其中tanθ=13
.3 7
所以函数的振幅为
.13
故选A.