cotC/(cotA+cosB)应该改为cotC/(cotA+cotB)
cotC/(cotA+cotB)=(sinA sinB/sinC^2)*cosC=ab/c^2 *cosC
cosC=(a^2+b^2-c^2)/2ab=5c^2/9ab(由9a²+9b²-19c²=0得到)
代入得cotC/(cotA+cotB)=5/9
cotC/(cotA+cosB)应该改为cotC/(cotA+cotB)
cotC/(cotA+cotB)=(sinA sinB/sinC^2)*cosC=ab/c^2 *cosC
cosC=(a^2+b^2-c^2)/2ab=5c^2/9ab(由9a²+9b²-19c²=0得到)
代入得cotC/(cotA+cotB)=5/9