麻烦各位学霸帮帮忙,看看这道题怎么解,谢谢
4个回答
2014-08-17
展开全部
由正弦定理
(a-ccosB)/(b-ccosA)
=(sinA-sinCcosB)/(sinB-sinCcosA)
=[sin(π-B-C)-sinCcosB]/[sin(π-A-C)-sinCcosA]
=[sin(B+C)-sinCcosB]/[sin(A+C)-sinCcosA]
=(sinBcosC+sinCcosB-sinCcosB)/(sinAcosC+sinCcosA-sinCcosA)
=(sinBcosC)/(sinAcosC)
=sinB/sinA
(a-ccosB)/(b-ccosA)
=(sinA-sinCcosB)/(sinB-sinCcosA)
=[sin(π-B-C)-sinCcosB]/[sin(π-A-C)-sinCcosA]
=[sin(B+C)-sinCcosB]/[sin(A+C)-sinCcosA]
=(sinBcosC+sinCcosB-sinCcosB)/(sinAcosC+sinCcosA-sinCcosA)
=(sinBcosC)/(sinAcosC)
=sinB/sinA
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