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Question

In ΔABC,c cos(Aα)+αcos(C+α)=


A

αcosα

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B

bcosα

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C

ccosα

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D

2bcosα

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Solution

The correct option is B

bcosα


c cos(Aα)+acos(C+α)=c(cosA cosα+sin Asin α)+a(cosC cosαsinC sinα)=cosα(c cos A+a cos C)+c sin A sin αα sin C sin αb cos α+kac sinαkac sinα=b cosα


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