因为-π0,所以5π/12+a是第四象限角,因而sin(5π/12+a)=-2√2/3。故cos(π/12—a)=cos[π/2-(5π/12+a)]=cos(π/2)*cos(5π/12+a)+sin(π/2)sin(5π/12+a)=-2√2/3。(√表示根号)