cotan
Definition
- Noun:
- A trigonometric function: In a right-angled triangle, the cotangent (cotan) is the ratio of the length of the side adjacent to a given acute angle to the length of the side opposite that angle.
- A mathematical value: It is the reciprocal of the tangent function.
Usage
- The word "cotan" is an abbreviation for "cotangent." It is used primarily in mathematical contexts, specifically in trigonometry and calculus.
- It is typically followed by the angle in parentheses or written as a function, e.g., or .
Examples
- Noun:
- To find the angle, you need to calculate the cotan of the ratio.
- The value of cotan(45°) is 1.
- In the equation, cotan is expressed as the adjacent side divided by the opposite side.
Advanced Usage
- Inverse cotangent: The function or is the inverse of the cotangent function.
- The angle was determined using the arccotan of the value.
- Hyperbolic cotangent: In advanced mathematics, represents the hyperbolic cotangent.
- The solution involves the hyperbolic cotangent, coth(x).
Variants and Related Words
- Cotangent (n): The full, formal term for "cotan."
- The cotangent function is periodic.
- Cot (abbr.): A common written abbreviation.
- The identity is written as cot² θ + 1 = csc² θ.
Synonyms
- Reciprocal of tangent: This describes its mathematical relationship.
- The cotan is the reciprocal of the tangent.
Related Phrases
- Cotangent rule: A theorem or formula involving the cotangent function.
- The problem was solved using the cotangent rule from trigonometry.
Noun
-
ratio of the adjacent to the opposite side of a right-angled triangle
Khám phá thêm
Các từ liên quan
Từ đồng nghĩa
Từ chứa "cotan"
