Pre-Calculus is a foundational course that prepares students for advanced mathematics. It covers two main areas: Trigonometry and Math Analysis. Understanding the key formulas and concepts in these areas is essential for success in higher-level math courses.

• Trigonometry, which is the study of triangles, typically begins with an understanding of basic functions, then branches into how triangles and their angles can be drawn and represented in rotations, degrees and radian measure. With this foundation, students then introduced to the Unit Circle, which enables them to explore trigonometric graphs, trig identities, and trig equations, as well as how to solve both right and oblique triangles. And lastly, students will explore new graphing planes called the Polar and Complex Coordinate systems.
• Whereas Math Analysis, which some instructors sometimes call Algebra 3, digs deeper into algebra concepts. Specifically, functions, domain and range, and end behavior. The focus of math analysis is not to just review or solve more complicated equations, but to show students how to represent them in various formats (i.e., graphically, numerically, and verbally). In particular, students will study polynomial functions, rational functions, expone

In conclusion, mastering the essential formulas and concepts in Pre-Calculus, including those in Trigonometry and Math Analysis, lays a strong foundation for success in higher-level mathematics. As the mathematician Archimedes said, "Give me a lever long enough and a fulcrum on which to place it, and I shall move the world." Similarly, with a solid understanding of Pre-Calculus, students can unlock the door to a world of mathematical possibilities.

Reference: https://mathbits.com/MathBits/TeacherResources/PreCalculus/Formula%20Sheet2.pdf