已知函数y=f(x)=2sin(2x+派/6),①求f(x)的振幅和最小正周期 ②求f(派/6)的值

问题描述:

已知函数y=f(x)=2sin(2x+派/6),①求f(x)的振幅和最小正周期 ②求f(派/6)的值

f(x)=2sin(2x+π/6)=2sin[2(x+π/12]
A=2,ω=2,φ=π/12
所以振幅是2
周期T=2π/ω=π
f(π/6)=2sin(2×π/6+π/6)=2sinπ/2=2×1=2