求值tan86-tan26-√3tan86*tan26=

题目

求值tan86-tan26-√3tan86*tan26=

答案

∵√3 = tan60 = tan(86-26) = [tan86-tan26] / [1+tan86tam26]
∴√3 [1+tan86tam26]= tan86 - tan26
∴√3 = tan86 - tan26- √3 tan86tam26