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Prove the identity… (COS B- COS C) / (SIN B +SIN C) =-TAN ((B-C) /2)?
Yes, please.
To prove (COS B- COS C) / (SIN B +SIN C) =-TAN ((B-C) /2), we will use the trigonometric identity COS(A-B) = COS A COS B + SIN A SIN B and SIN(A-B) = SIN A COS B - COS A SIN B.