y=sin(x-pai/6)怎么变成y=2sin(X/2-pai/6)

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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)
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