tan(θ)
The function "tan(θ)" represents the tangent of an angle θ in a right triangle. It is defined as the ratio of the length of the opposite side to the length of the adjacent side. In mathematical terms, tan(θ) = opposite/adjacent. This function is commonly used in trigonometry to solve problems involving angles and distances.
In the context of the unit circle, "tan(θ)" can also be expressed as the ratio of the sine and cosine functions: tan(θ) = sin(θ)/cos(θ). The tangent function is periodic, with a period of π, meaning it repeats its values every π radians. It is important in various fields, including physics and engineering, for analyzing angles and slopes.