y =5.0+2.5sin
t .
由数据可知函数的周期 T =12,又 T =12=
,
所以 ω =
,函数的最大值为7.5,最小值为2.5,即 h + A =7.5, h - A =2.5,解得 h =5.0, A =2.5.
所以函数为 y = f ( x )=5.0+2.5sin
又 y = f (3)=5.0+2.5sin
=7.5,
所以sin
=cos φ =1,即 φ =2 k π, k ∈Z,
故 y =5.0+2.5sin
t
y =5.0+2.5sin
t .
由数据可知函数的周期 T =12,又 T =12=
,
所以 ω =
,函数的最大值为7.5,最小值为2.5,即 h + A =7.5, h - A =2.5,解得 h =5.0, A =2.5.
所以函数为 y = f ( x )=5.0+2.5sin
又 y = f (3)=5.0+2.5sin
=7.5,
所以sin
=cos φ =1,即 φ =2 k π, k ∈Z,
故 y =5.0+2.5sin
t