Yes, the expression you are referring to, sin A + sin B, can be simplified using a trigonometric identity. The formula is:

$\sin A + \sin B = 2 \sin \left(\frac{A + B}{2}\right) \cos \left(\frac{A - B}{2}\right)$

This is a sum-to-product identity.

Would you like more details or an example with values for $A$ and $B$?

Here are 5 related questions you could explore:

1. How do I apply sum-to-product identities to other trigonometric expressions like $\cos A + \cos B$?
2. What are the sum-to-product identities for tangent or cotangent functions?
3. How do I prove the sum-to-product identity for $\sin A + \sin B$?
4. Can I use these identities for angles in different quadrants?
5. How do these identities simplify integration in trigonometry?

Tip: When working with trigonometric identities, always check if the sum or difference of angles can be simplified using sum-to-product or product-to-sum formulas to make complex expressions easier.