cotan

Thân thiện

A student calculates the cotan of an angle in a right triangle.

Definition

1. 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.

Học thuật

Noun

1. ratio of the adjacent to the opposite side of a right-angled triangle

Từ đồng nghĩa

• cotangent