<prompt> Katika pembetatu ABC, angle C fracpi2. Findarctan kushoto fracab c kulia arctan kushoto fracba c kulia.  <response>: Kutoka kwa formula ya kuongeza ya tangent,anzaaligntan kushoto arctan left fracab c kulia arctan left fracba c kulia kulia frac fracab c fracba c1 - fracab c cdot fracba c fracaa c bb ca cb c - ab fraca2 ac b2 bcab ac bc c2 - ab fraca2 b2 ac bcac bc c2.endalignKwa kuwa a2 b2 c2, tanjiti hii ni 1. Zaidi ya hayo,0 arctan left fracab c kulia arctan left fracba c kulia pi,hivyoarctan left fracab c kulia arctan left fracba c kulia fracpi4. 