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For any triangle ABC, prove that acosA+...

For any triangle ABC, prove that `acosA+bcosB+c cosC`=`2asinBsinC`

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`A/sinA=b/sinB=c/sinC=k`
(say) `∴, a=ksinA, b=ksinB, c=ksinC`
`∴, acosA+bcosB+ccosC =ksinAcosA+ksinBcosB+csinCcosC`
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