已知cos(a+TT/3)=sin(a-TT/3),则tana=
问题描述:
已知cos(a+TT/3)=sin(a-TT/3),则tana=
答
cos(a+π/3)=sin(a-π/3)cosa·cosπ/3-sina·sinπ/3=sina·cosπ/3-cosa·sinπ/3 sina·cosπ/3-sina·sinπ/3=cosa·cosπ/3-cosa·sinπ/3 sina(cosπ/3-sinπ/3)=cosa(cosπ/3-sinπ/3 )sina/cosa=(cosπ/3-si...