Cosine: meaning, definitions and examples
๐
cosine
[ หkษs aษชn ]
mathematics function
Cosine is a fundamental trigonometric function defined for a right triangle as the ratio of the length of the adjacent side to the hypotenuse. In the unit circle, it represents the x-coordinate of a point at a given angle. The cosine function is periodic, with a period of 2ฯ, and is commonly used in various applications including physics, engineering, and navigation. The graph of the cosine function is a wave that oscillates between 1 and -1.
Synonyms
cos, cosine function
Examples of usage
- The cosine of 60 degrees is 0.5.
- To solve the triangle, we need to calculate the cosine of angle A.
- In the equation for wave motion, cosine describes the displacement from the midpoint.
angle measurement
In the context of angle measurement, the cosine can be used to calculate angles in various geometrical shapes. It is integral in solving triangles and can help determine unknown sides or angles. This function is essential in navigation, as it aids in calculating distances over the earth's surface.
Synonyms
cosine ratio
Examples of usage
- Using the cosine rule, we can find the length of the third side.
- The cosine of 45 degrees is equal to the sine of 45 degrees.
- Engineers often rely on cosine functions to model forces in structures.
Translations
Translations of the word "cosine" in other languages:
๐ต๐น cosseno
๐ฎ๐ณ เคเฅเคธเคพเคเคจ
๐ฉ๐ช Kosinus
๐ฎ๐ฉ kosinus
๐บ๐ฆ ะบะพัะธะฝัั
๐ต๐ฑ cosinus
๐ฏ๐ต ใณใตใคใณ
๐ซ๐ท cosinus
๐ช๐ธ coseno
๐น๐ท kosinรผs
๐ฐ๐ท ์ฝ์ฌ์ธ
๐ธ๐ฆ ุฌูุจ ุงูุชู ุงู
๐จ๐ฟ kosinus
๐ธ๐ฐ kosinus
๐จ๐ณ ไฝๅผฆ
๐ธ๐ฎ kosinus
๐ฎ๐ธ kรณsรญnus
๐ฐ๐ฟ ะบะพัะธะฝัั
๐ฌ๐ช แแแกแแแฃแกแ
๐ฆ๐ฟ kosinus
๐ฒ๐ฝ coseno
Etymology
The word 'cosine' originates from the Latin term 'cosinus', which is a combination of the prefix 'co-' (meaning 'complement') and 'sinus' (meaning 'sine'). The term was first used in the 16th century when the field of trigonometry began to develop significantly in Europe. Before the term 'cosine' was adopted, the concept was described using different terminologies that highlighted the relationship between sine and the complement of angles. The formalization of trigonometric functions during this time was influenced by the work of mathematicians like Hipparchus, Ptolemy, and later Renaissance scholars who sought to understand and quantify the geometrical properties of angles and triangles. Over time, the term 'cosine' became standardized in mathematical lexicons worldwide.
Word Frequency Rank
With rank #18,532, this word belongs to specialized vocabulary. While not common in everyday speech, it enriches your ability to express complex ideas.
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- 18529 juniors
- 18530 bracelets
- 18531 heather
- 18532 cosine
- 18533 misapprehension
- 18534 ripping
- 18535 exchangeable
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