cos四分之五π+tan三分之四π+sin(-三分之π)+tan(-六分之π) 等于?

问题描述:

cos四分之五π+tan三分之四π+sin(-三分之π)+tan(-六分之π) 等于?

原式=cos(π/4+π)+tan(π/3+π)-sinπ/3-tanπ/6
=-cosπ/4+tanπ/3-sinπ/3-tanπ/6
=-√2/2+√3-√3/2-√3/3
=√3/6-√2/2