trig

Meanings

• noun

  A mathematical function that returns the value of an angle in radians or degrees, given its position in a triangle.

  - "The sine of an angle is given by the ratio of the length of the side opposite the angle to the length of the hypotenuse."
  - "Trigonometric functions are used to solve problems related to right triangles."

• noun

  A short form of 'trigonometry'

  - "Trig functions are essential in engineering and physics."
  - "Trig identities can simplify complex calculations."

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Rhymes

Words rhyming with trig
big , dig , pig

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Variants

List of all variants of trig that leads to same result
trig , trigs , trigger , triggest

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Forms

Different forms of the word (e.g., verb conjugations, plural forms, comparative/superlative forms for adjectives).

sine, cosine, tangent, cotangent, secant, cosecant

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Etymology

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

From the Greek word 'trigonon', meaning 'triangle'

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Trivia

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

1. The first recorded use of trigonometry was in ancient Egypt around 1500 BCE.

2. The Greek mathematician Euclid wrote the first comprehensive treatise on trigonometry in his book 'Elements'.

3. The unit circle is a fundamental concept in trigonometry, representing the relationship between angles and their corresponding trigonometric functions.

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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. Angle: A measure of rotation around a point.

2. Triangle: A polygon with three sides and three angles.

3. Pythagorean Theorem: A fundamental principle in geometry that relates the sides of a right triangle.

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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 since ancient times in various civilizations, including the Babylonians, Greeks, and Chinese. It is an essential part of mathematics, with applications in physics, engineering, and computer science.

How to Memorize "trig"

1. visualize
   

   - Imagine a right triangle with sides labeled as 'a' for the opposite side, 'b' for the adjacent side, and 'c' for the hypotenuse. Visualize the angles as 'α', 'β', and 'γ'.
   - Practice drawing right triangles and labeling their sides and angles.

2. associate
   

   - Associate the sine function with the opposite side and the hypotenuse.
   - Associate the cosine function with the adjacent side and the hypotenuse.
   - Associate the tangent function with the ratio of the opposite side to the adjacent side.

3. mnemonics
   

   - Use the SOHCAHTOA mnemonic to remember the relationships between the trigonometric functions and the sides of a right triangle: Sine is opposite over hypotenuse, Cosine is adjacent over hypotenuse, and Tangent is opposite over adjacent.

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