△ABC,a:b:c=1:3:5,求(2sinA-sinB)/sinC

问题描述:

△ABC,a:b:c=1:3:5,求(2sinA-sinB)/sinC

运用正弦定理
a/sinA=b/sinB=c/sinC=k;
sinA=a/k;sinB=b/k;sinC=c/k;
(2sinA-sinB)/sinC=(2a-b)/k*k/c=-1/5