已知sin(π/2+α)=12/13(-12/13<α<0),求cos(α-π/6)

问题描述:

已知sin(π/2+α)=12/13(-12/13<α<0),求cos(α-π/6)

sin(π/2+α)=cos(α)=12/13,所以sin(α)=5/13:;
cos(α-π/6)=cos(α)*cos(π/6)-sin(α)*sin(π/6)=(12(根号3)-5)/26