tan12分之7派 如何化简
问题描述：
tan12分之7派 如何化简
答
tan7π/12=tan(π/4+π/3)=(tanπ/4+tanπ/3)/(1-tanπ/4tanπ/3)=(1+√3)/(1-√3)=-2-√3
望采纳 谢谢
答
=tan(3π/12+4π/12)
=tan(π/4+π/3)
=(tanπ/4+tanπ/3)/(1-tanπ/4tanπ/3)
=(1+√3)/(1-√3)
=(1+√3)²/(1-√3)(1+√3)
=(4+2√3)/(-2)
=-2-√3
答
tan(7π/12)
=tan(π/2+π/12)
=-cot(π/12)
=-[1+cos(π/6)]/sin(π/6)
=-(1+√3/2)/(1/2)
=-(2+√3)