This series of posts introduces the concept of tangent and explores its various applications in mathematics. From its connection with circles and triangles to its role in trigonometry and calculus, these posts cover the fundamentals and delve into advanced topics. Discover how tangent relates to the unit circle, derivatives, and real-world scenarios such as projectile motion. Gain insights into the tangent line approximation, inverse tangent function, and the tangent half-angle formula. Join us on this exploration of tangent and its significance in both theoretical and practical mathematics.