sine

Meanings

• noun

  A mathematical function that returns the ratio of the opposite side of a right angle in a right triangle to the hypotenuse.

  - "The sine of 30 degrees is 0.5."
  - "In trigonometry, the sine of an angle is the ratio of the length of the side opposite that angle to the length of the longest side of the right triangle."

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Synonyms

sin

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Variants

List of all variants of sine that leads to same result
sine , sines , sine curve , sine curves , sine die , sine qua non , sine qua nons , sine quibus non , sine wave , sine waves , causa sine qua non , nil sine numine , arc sine , arc sines , arcsine , arcsines

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Etymology

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

Derived from the Latin word 'sinus' meaning 'bay' or 'curve'. In mathematics, the term 'sine' refers to the ratio of the length of the side opposite an angle in a right triangle to the length of the hypotenuse.

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Trivia

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1. The sine function is periodic, meaning that it repeats the same pattern over and over.

2. The sine function is an even function, meaning that it is symmetric about the y-axis.

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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. Cosine: Cosine is another trigonometric function that returns the ratio of the length of the side adjacent to an angle in a right triangle to the length of the hypotenuse.

2. Tangent: Tangent is a trigonometric function that returns the ratio of the length of the side opposite an angle to the length of the side adjacent to that angle.

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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.

The mathematical function sine has been extensively used in various mathematical and scientific fields, including physics, engineering, and computer graphics. It is an essential function in trigonometry, which is the branch of mathematics dealing with triangles and their relationships to angles and sides.

How to Memorize "sine"

1. visualize
   

   - Imagine a right triangle. Label the sides as the hypotenuse, opposite, and adjacent sides. To find the sine of an angle, divide the length of the opposite side by the length of the hypotenuse.

2. associate
   

   - Associate the word 'sine' with the word 'opposite'. In a right triangle, the side opposite an angle is the side that is opposite to that angle.

3. mnemonics
   

   - Use the SOHCAHTOA mnemonic: Sine, Opposite, Hypotenuse, Cosine, Adjacent, Hypotenuse, Tangent, Opposite, Adjacent.

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