Tan

It’s not even summer, and I already have a tan …

Tangent, often abbreviated as "tan," is a fundamental trigonometric function in mathematics. It represents the ratio of the length of the side opposite to an acute angle in a right triangle to the length of the adjacent side. The tangent function is periodic with a period of π, and it is undefined at odd multiples of π/2 due to division by zero. In the context of calculus, the tangent function also has applications in finding slopes of curves and rates of change. It is a crucial concept in both geometry and calculus, playing a significant role in various mathematical and scientific calculations.