tangent

Meanings

• noun

  A straight line that touches a curve at a single point.

  - "The tangent line to the circle at point P is a line that just touches the circle at that point."
  - "In calculus, the derivative of a function at a point is the tangent line to the graph of the function at that point."

• verb

  To touch or approach closely, especially without making contact.

  - "The car tangented the curve, coming very close to losing control."
  - "The new policy tangents the old one in several respects."

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Synonyms

tangent line

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Rhymes

Words rhyming with tangent
range , change , strange

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Variants

List of all variants of tangent that leads to same result
tangent , tangents , tangent plane , tangent planes , go off on a tangent , arc tangent , arc tangents , arctangent , arctangents

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Etymology

origin and the way in which meanings have changed throughout history.

From the Latin word 'tangere', meaning 'to touch'.

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. The term 'tangent' comes from the Latin word 'tangere', which means 'to touch'.

2. In geometry, a tangent line is perpendicular to the normal line at a point on a curve.

3. The tangent function is a fundamental function in mathematics, used extensively in trigonometry and calculus.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Derivative: In calculus, the tangent line to a curve at a point is the same as the line represented by the derivative of the function that describes the curve at that point.

2. Normal vector: At a point on a curve, the normal vector is perpendicular to the tangent vector. Together, the tangent and normal vectors define the orientation of the curve at that point.

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Culture

Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.

In mathematics, the concept of a tangent is used extensively in calculus and geometry. It has applications in physics, engineering, and computer graphics.

How to Memorize "tangent"

1. visualize
   

   - Imagine a circle and a line that just touches it at a single point. This line is the tangent line to the circle at that point.
   - Visualize the graph of a function and the tangent line to the graph at a specific point.

2. associate
   

   - Associate the word 'tangent' with the idea of 'touching' or 'approaching closely'.
   - Remember that the tangent line is perpendicular to the normal line at a point on a curve.

3. mnemonics
   

   - Try creating a mnemonic using the word 'tangent' and the idea of 'touching' or 'approaching closely'.

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