y=sin(x-pai/6)怎么变成y=2sin(X/2-pai/6)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/06 08:14:30
y=sin(x-pai/6)怎么变成y=2sin(X/2-pai/6)y=sin(x-pai/6)怎么变成y=2sin(X/2-pai/6)y=sin(x-pai/6)怎么变成y=2sin(X/2-p

y=sin(x-pai/6)怎么变成y=2sin(X/2-pai/6)
y=sin(x-pai/6)怎么变成y=2sin(X/2-pai/6)

y=sin(x-pai/6)怎么变成y=2sin(X/2-pai/6)
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