Welcome to this introductory post on the concept of tangent. Tangent is a fundamental trigonometric function that has significant applications in both geometry and calculus.

In geometry, tangent refers to a line that intersects a circle at exactly one point, known as the point of tangency. This line is perpendicular to the radius of the circle at that point. Tangent lines can help us analyze the properties and relationships within circles.

In trigonometry, tangent is defined as the ratio of the length of the side opposite an angle in a right triangle to the length of the adjacent side. It is denoted as tan and can be calculated using the formula tanθ = opposite/adjacent. Tangent allows us to relate angles to the sides of triangles and is often used together with sine and cosine.

With an understanding of tangent, we can explore various mathematical phenomena and solve problems in fields like physics, engineering, and navigation.

Let's embark on this tangent journey together and discover its fascinating applications!