tan(-25派/12)等于多少?

问题描述:

tan(-25派/12)等于多少?

tan(-25π/12)=-tan(25π/12)=-tan(π/12)
因为tan(a/2)=sina/(1+cosa),则tan(π/12)=sin(π/6)/[1+cos(π/6)]=(1/2)/[1+(√3/2)]=2-√3
则:tan(-25π/12)=√3-2