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Hilda
Joined: 15 Apr 2004Posts: 12
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Posted: Fri Apr 16, 2004 11:40 pm Post subject: 求證：a sinB=b sinA.
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在△ABC中，∠A、∠B均為銳角，∠A、∠B所對的邊為a、b，求證：a sinB=b sinA.
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me
Frequent VisitorJoined: 12 Feb 2004Posts: 213
Location: Hong Kong
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Posted: Sat Apr 17, 2004 2:09 am Post subject: Re: 求證：a sinB=b sinA.
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Hilda wrote:
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| 在△ABC中，∠A、∠B均為銳角，∠A、∠B所對的邊為a、b，求證：a sinB=b sinA. |
Hilda, A and B are acute angle is useless, this is a result of cosine law: a/sinA=b/sinB=c/sinC=2R, where R is the radius of circumcircle of ABC.
P.S.You any prove it by drawing the altitudes.
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ucc-kwk
Joined: 15 Mar 2005Posts: 8
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Posted: Tue Mar 15, 2005 9:59 pm Post subject:
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It should be Sine Forumla.
From the figure, you can find that
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