y=sinα-cosα的最小正周期

问题描述:

y=sinα-cosα的最小正周期

sinα-cosα=√2(sinα*√2/2-cosα*√2/2)
=√2(sinαcosπ/4-cosαsinπ/4)
=√2sin(α-π/4)
T=2π/1=2π,
故最小正周期为2π.