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在△ABC中,若a+c=2b,则cosA+cosC-cosAcosC+sinAsinC/3=?
人气:286 ℃ 时间:2020-02-03 19:05:19
解答
因为tanA/2tanC/2=1/3所以cosA+cosC-cosAcosC+(1/3)sinAsinC=cosA+cosC-cosAcosC+(tanA/2tanC/2)sinAsinC=cosA+cosC-cosAcosC+(1-cosA)/sinA*(1-cosC)/sinC*sinAsinC=cosA+cosC-cosAcosC+(1-cosA)(1-cosC)=cosA+cosC...
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