g(x)与f(x)=sin(x/2+π/6)的图象关于直线x=π对称,求g(x)
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g(x)与f(x)=sin(x/2+π/6)的图象关于直线x=π对称,求g(x)
g(x)与f(x)=sin(x/2+π/6)的图象关于直线x=π对称,求g(x)
g(x)与f(x)=sin(x/2+π/6)的图象关于直线x=π对称,求g(x)
g(x)与f(x)=sin(x/2+π/6)的图象关于直线x=π对称,则g(x)=f(2π-x)=sin[(2π-x)/2+π/6]=sin(-x/2+7π/6)=sin(x/2-π/6),即g(x)=sin(x/2-π/6).
f(x)的中心是x=-π/3 , 所以g(x)的中心是x=7π/3 , 对称图像有相等的振幅和周期,所以g(x)=sin(x/2-7π/6+4kπ) , k=0,±1,±2...