FRAC{1}{2}(\cos 2C-\cos 2B) \RIGHT\}=0\]. Note: Students should note here that most of the expressions containing the cyclic FACTOR associating with ?-? reduces to 0.

"> FRAC{1}{2}(\cos 2C-\cos 2B) \RIGHT\}=0\]. Note: Students should note here that most of the expressions containing the cyclic FACTOR associating with ?-? reduces to 0.

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In\[\Delta ABC,\]a\[\sin (B-C)+b\sin (C-A)+c\sin (A-B)=\] [ISM Dhanbad 1973]

Joint Entrance Exam - Main (JEE Main) Mathematics in Joint Entrance Exam - Main (JEE Main) 10 months ago

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\[a\sin (B-C)+b\sin (C-A)+c\sin (A-B)\] \[=k\,(\Sigma \sin A\sin (B-C)\]\[=k\,\{\Sigma \sin (B+C)\sin (B-C)\}\] \[=k\,\left\{ \Sigma \FRAC{1}{2}(\cos 2C-\cos 2B) \RIGHT\}=0\]. Note: Students should note here that most of the expressions containing the cyclic FACTOR associating with ?-? reduces to 0.

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