已知coa(π/6-a)=m(m≦1),求cos(5π/6+a) ,sin(2π/3-a)的值

问题描述:

已知coa(π/6-a)=m(m≦1),求cos(5π/6+a) ,sin(2π/3-a)的值

cos(π/6-a)=m,
故cos(5π/6+a)
=cos[π-(π/6-a)]
= -cos(π/6-a)
= -m

sin(2π/3-a)
=sin[π/2+(π/6-a)]
=cos(π/6-a)
=m