Learning about angle sum and difference identities in 12th grade helps you get ready for more advanced math in some important ways:

1. A Strong Base for Calculus: These identities make it easier to work with limits, derivatives, and integrals, especially when you’re using trigonometric functions. For example, when you know that $\sin(a \pm b) = \sin a \cos b \pm \cos a \sin b$, it helps a lot when figuring out limits.

2. Understanding Complex Numbers: These identities are important for learning Euler's formula. This formula connects trigonometry with complex numbers. It’s really helpful in higher-level math courses.

3. Improving Problem-Solving Skills: They help you think critically, allowing you to work with trigonometric expressions better.

In short, mastering these identities not only builds your confidence but also gets you ready for the tough math you'll face in college!