Foundational Mathematics: Circles, Trigonometry, and Probability

High school math concepts are crucial for success in STEM fields, but often seem abstract. This course breaks down three essential areas—circles, trigonometry, and probability—into manageable, easy-to-understand modules. By the end of this course, you will be able to confidently solve problems involving spatial relationships, periodic functions, and the likelihood of events, preparing you for higher-level mathematics and data science applications. What you'll learn: * Understand the properties and fundamental theorems of circles, tangents, and secants in coordinate geometry. * Apply trigonometric ratios (sine, cosine, tangent) to solve problems involving right triangles and real-world applications like angles of elevation. * Master the unit circle definition and graph basic trigonometric functions (sine and cosine) across different quadrants. * Calculate fundamental probability using classical, empirical, and axiomatic approaches. * Practice advanced probability concepts including conditional probability and basic counting principles (combinatorics). * Analyze geometric problems using standard formulas, logical deduction, and algebraic manipulation. The course begins with foundational definitions and terminology for each topic before moving into detailed proofs and practical calculation techniques. We focus heavily on applying learned concepts through written exercises and worked examples. This course is designed exclusively for beginners who need a clear, structured introduction to high school level mathematics. No prior advanced mathematical knowledge is required, only basic arithmetic and algebra skills. Start building your essential math skills today.