Answer :

i. We know, 2 sin A cos B = sin (A + B) + sin (A – B)






{sin (-x) = - sin x}



{sin (180° - x) = sin x}






Hence Proved


ii. We know, 2 sin A cos B = sin (A + B) + sin (A – B)



Take L.H.S




{sin (-x) = - sin x}




= R.H.S.


Hence Proved


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