y=sin(x-pai/6)怎么变成y=2sin(X/2-pai/6)

1个回答

  • y=2sin(X/2-pai/6)

    =2sin[(x-π/3)/2]

    =2sin[(x-π/6-π/6)/2]

    第一步,把函数y=sin(x-pai/6)的横坐标向又平移π/6个单位得到y=sin(x-π/6-π/6)

    第二步,把函数y=sin(x-π/6-π/6)的横坐标扩大2倍得到y=sin[(x-π/6-π/6)/2]

    第三步,把函数y=sin[(x-π/6-π/6)/2]的纵坐标扩大2倍得到y=2sin[(x-π/6-π/6)/2]

    即y=2sin[(x-π/6-π/6)/2]

    =2sin[(x-π/3)/2]

    =2sin(X/2-π/6)

    √希望你能看懂,你能明白,赞同