若点P(-sinα,cosα)在角β的终边上,则β=_(用α表示).
问题描述:
若点P(-sinα,cosα)在角β的终边上,则β=______(用α表示).
答
∵-sinα=sin(-α)=cos(π2+α)=cos(2kπ+π2+α)cosα=sin(π2+α)=sin(2kπ+π2+α)故点P(-sinα,cosα)为点P(cos(2kπ+π2+α),sin(2kπ+π2+α)).由点P(-sinα,cosα)在角β终边上,∴...