Angle sum identities are important math tools.

They help us understand how angles work together.

Here are two main identities:

1. Sine Identity:

   • (\sin(a + b) = \sin a \cos b + \cos a \sin b)

2. Cosine Identity:

   • (\cos(a + b) = \cos a \cos b - \sin a \sin b)

These formulas are very useful in real life.

They make tricky calculations easier.

Here are some examples of how we use them:

1. Engineering:

   • When engineers need to find forces, they look at multiple angles.
   • These identities help them get accurate answers.

2. Navigation:

   • When figuring out the best path on a map, angles can change.
   • Using these identities helps find the shortest route.

In short, angle sum identities help us solve problems faster and more easily!