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Show that (b-a) cos C+ c (cos B- cos A)=...

Show that `(b-a) cos C+ c (cos B- cos A)= c sin ""( A-B)/( 2) cosec ""( A+B)/(2)`

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The correct Answer is:
` = c sin ((A-B)/( 2)) cosec ((A+B)/(2))`
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