Foundations of Algebra and Trigonometry: Relations and Functions

Building a strong mathematical foundation is essential for success in advanced science, engineering, and academic exams. This text-based course guides you step-by-step through the core principles of relations, functions, and trigonometry, turning complex formulas into clear, logical concepts. You will transition from basic algebraic definitions to solving sophisticated trigonometric equations with confidence. What you will learn: Understand the formal definitions of relations, Cartesian products, and domain and range; Master different types of functions, including polynomial, rational, and trigonometric functions; Apply fundamental trigonometric identities and formulas to solve complex equations; Practice graphing functions and interpreting their behavior and transformations; Learn modern computational applications of these mathematical concepts in programming and data science. This course starts with absolute basics, defining essential terminology and set theory before progressing to deep algebraic properties and trigonometric functions. It is designed specifically for beginners and students preparing for high school board exams, requiring no prior advanced mathematical knowledge. Prepare to elevate your mathematical skills and excel in your studies.