cos(2x-π/6)怎么由sin(2x-π/3)变的如向____移,移___单位
问题描述:
cos(2x-π/6)怎么由sin(2x-π/3)变的
如向____移,移___单位
答
sin(2x-π/3)
=cos(π/2 - 2x +π/3)
=cos(2x-5π/6)
=cos[2(x-5π/12)]
cos(2x-π/6)
=cos[2(x-π/12)]
又 -π/12 - (-5π/12) = π/3
所以cos(2x-π/6)是由sin(2x-π/3) 向左移动π/3得到的。
答
cos(2x-π/6)=cos2(x-π/12)而sin(2x-π/3)=cos[π/2-(2x-π/3)]=cos(π/2-2x+π/3)=cos(2x-5π/6)=cos2(x-5π/12)=cos2(x-π/12-π/3)要移动得到cos2(x-π/12),根据左加右减得所以向__左__移,移__ π/3 _单位...