请问这个正弦定理的变形公式是怎样得到的?
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/23 00:54:15
请问这个正弦定理的变形公式是怎样得到的?
![请问这个正弦定理的变形公式是怎样得到的?](/uploads/image/z/1278048-48-8.jpg?t=%E8%AF%B7%E9%97%AE%E8%BF%99%E4%B8%AA%E6%AD%A3%E5%BC%A6%E5%AE%9A%E7%90%86%E7%9A%84%E5%8F%98%E5%BD%A2%E5%85%AC%E5%BC%8F%E6%98%AF%E6%80%8E%E6%A0%B7%E5%BE%97%E5%88%B0%E7%9A%84%3F)
a/sinA=b/sinB=c/sinC=k
=>a=ksinA,b=ksinB,c=ksinC
=>a+b+c=ksinA+ksinB+ksinC=k(sinA+sinB+sinC)
=>(a+b+c)/(sinA+sinB+sinC)
=k(sinA+sinB+sinC)/(sinA+sinB+sinC)
=k
=a/sinA
=b/sinB
=c/sinC
=>a=ksinA,b=ksinB,c=ksinC
=>a+b+c=ksinA+ksinB+ksinC=k(sinA+sinB+sinC)
=>(a+b+c)/(sinA+sinB+sinC)
=k(sinA+sinB+sinC)/(sinA+sinB+sinC)
=k
=a/sinA
=b/sinB
=c/sinC