求值tan(kπ+π/6)cos(kπ-4π/3),k属于z

问题描述:

求值tan(kπ+π/6)cos(kπ-4π/3),k属于z

当k=2n时(n属于z),原式=tan(π/6)cos(-4π/3)=-√3/6;
当k=2n+1时(n属于z),原式=-tan(π/6)cos(-4π/3)=√3/6;