trigonometry

Meanings

• noun

  A branch of mathematics dealing with the relationships between the angles and sides of triangles.

  - "Trigonometry is essential in calculating distances and angles in triangles."
  - "The student aced the trigonometry exam."
  - "Trigonometry is used extensively in physics and engineering."

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Variants

List of all variants of trigonometry that leads to same result
trigonometries , trigonometry , spherical trigonometries , spherical trigonometry

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Etymology

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

From the Greek words trigonon (triangle) and metrē (measure).

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Trivia

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1. The oldest known trigonometric table was discovered in Egypt and dates back to around 1500 BC.

2. The Greek mathematician Euclid is credited with the first systematic study of trigonometry in his work 'Elements'.

3. Trigonometry was used extensively by the ancient Chinese, Indians, and Greeks for various applications, including astronomy, engineering, and navigation.

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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. Algebra: Trigonometry and algebra are closely related, as trigonometric functions can be represented algebraically.

2. Calculus: Trigonometry is used extensively in calculus, particularly in the study of integrals and derivatives.

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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.

Trigonometry has been used extensively in various fields such as architecture, engineering, physics, and mathematics. In literature, trigonometry has been used metaphorically to represent complex relationships and interconnections. For example, in Shakespeare's Hamlet, Polonius says, 'The heartache that it gives us is considerable, who can extract it hence?' To which Hamlet replies, 'O, 'tis a consummation devoutly to be wished. To die, to sleep; to sleep, perchance to dream: ay, there's the rub; for in that sleep of death what dreams may come when we have shuffled off this mortal coil, must give us pause: there's the respect that makes calamity of so long life.' This metaphorical use of trigonometry illustrates the interconnectedness of life and death.

How to Memorize "trigonometry"

1. visualize
   

   - Visualize a right triangle with sides labeled as 'opposite', 'adjacent', and 'hypotenuse'.
   - Imagine a unit circle with the angles and their respective radii and trigonometric functions labeled.

2. associate
   

   - Associate the sine function with the opposite side of a right triangle, the cosine function with the adjacent side, and the tangent function with the ratio of the opposite side to the adjacent side.
   - Remember that the inverse trigonometric functions have the same names but are denoted with a lowercase 'i' at the end (e.g., sin inverse, cos inverse, tan inverse).

3. mnemonics
   

   - Use the mnemonic SOHCAHTOA: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.
   - Remember that the Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

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