由题意得：方法1：sin50°(1+√3×tan 10°) =(sin50°cos10°+√3sin50°sin10°)/cos10° =[sin(60°-10°)cos10°+√3sin(60°-10°)sin10°]/cos10° =(sin60°cos10°²-cos60°sin10°cos10°+√3sin60°c...