Question

三角函数的周期性y=sin(ωx+θ)+K,则T=2π/ω怎么得来的?是怎么推出来的?

Answer 1

y=sin(ωx+θ)+K

=sin(ωx+θ+2π)+K

=sin(ω(x+2π/ω)+θ)+K

即：y(x)=y(x+2π/ω)

∴T=2π/ω