Cot(x)
The cotangent function, denoted as cot(x), is a trigonometric function used in mathematics to calculate the ratio of the adjacent side to the opposite side of a right triangle
The cotangent function, denoted as cot(x), is a trigonometric function used in mathematics to calculate the ratio of the adjacent side to the opposite side of a right triangle.
In a right triangle, the cotangent of an angle (let’s say angle x) is defined as the ratio of the length of the adjacent side to the length of the opposite side. Mathematically, cot(x) is calculated as:
cot(x) = adjacent side / opposite side
The cotangent function is related to the tangent function (tan(x)) through the reciprocal property:
cot(x) = 1 / tan(x)
Graphically, cot(x) represents the slope of the line passing through the origin and a point on the unit circle corresponding to angle x.
The cotangent function has a periodicity of π radians or 180 degrees, meaning its values repeat in a pattern after every π radians or 180 degrees. The graph of the cotangent function exhibits vertical asymptotes at multiples of π (or 180 degrees) where the function approaches positive or negative infinity.
You can evaluate cot(x) using a scientific calculator or obtain its values from trigonometric tables or online resources.
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