# Chapter 5 - Section 5.2 - Sum and Difference Formulas - Concept and Vocabulary Check - Page 668: 3

Identity for $\sin \left( C+D \right)$ is expressed as $\sin C\cos D+\cos C\sin D$.

#### Work Step by Step

From the sum formula of sines, the sine of the sum of two angles, say A and B, is expressed as, $\sin \left( A+B \right)=\sin A\cos B+\cos A\sin B$ Thus, for angles C and D, $\sin \left( C+D \right)=\sin C\cos D+\cos C\sin D$

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