((3^1/2)b -c )cosa =a cos b , 求cos a

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/05 21:41:02

((3^1/2)b -c )cosa =a cos b , 求cos a
((3^1/2)b -c )cosa =a cos b , 求cos a

((3^1/2)b -c )cosa =a cos b , 求cos a
原题中cos b若改为cosC,则如下:
a/sinA =b/sinB =c/sinC =2R(R是△ABC外接圆半径)代入原式化得(√3sinB -sinC)cosA =sinA*cosC
即 √3sinB*cosA =sinA*cosC +sinC*cosA=sin(A+C)=sinB
约去sinB得cosA=√3/3