问题标题:
已知函数f(x)=(1/2)cos(2x+2π/3),g(x)=(1/2)sin(2x+2π/3).求函数h(x)=f(x)-g(x)的零点.
问题描述:
已知函数f(x)=(1/2)cos(2x+2π/3),g(x)=(1/2)sin(2x+2π/3).
求函数h(x)=f(x)-g(x)的零点.
吕婷婷回答:
h(x)=f(x)-g(x)=(1/2)cos(2x+2π/3)-(1/2)sin(2x+2π/3)=√2/2[√2/2cos(2x+2π/3)-√2/2sin(2x+2π/3)]=√2/2cos[(2x+2π/3)+π/4]=√2/2cos(2x+11π/12).h(x)=0时,cos(2x+11π/12)=0,2x+11π/12=kπ+...
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