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Question Number 54970 by Tip Top last updated on 15/Feb/19
IfacosA=bcosBina△ABC,then∠Cis
Answered by $@ty@m last updated on 15/Feb/19
Givenab=cosBcosA...(1)Weknowthatab=sinAsinB...(2)from(1)and(2)cosBcosA=sinAsinBsinAcosA=sinBcosBsin2A=sin2B⇒A=Bor2A=π−2Bfrom2A=π−2BwegetA=π2−B⇒A+B=π2⇒C=π2
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