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On this page you'll find 9 example sentences with Cotangent. Discover the meaning, how to use the word correctly in a sentence.

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Cotangent in a sentence

Cotangent meaning

In a right triangle, the reciprocal of the tangent of an angle. Symbols: cot, ctg, or ctn

Synonyms of Cotangent

cotan trigonometric function circular function

Related words

Other words often associated with Cotangent or its synonyms:

function

Using Cotangent

  • The main meaning on this page is: In a right triangle, the reciprocal of the tangent of an angle. Symbols: cot, ctg, or ctn
  • Useful related words include: cotan, trigonometric function, circular function.
  • In the example corpus, cotangent often appears in combinations such as: the cotangent, cotangent space.

Context around Cotangent

  • Average sentence length in these examples: 25 words
  • Position in the sentence: 4 start, 2 middle, 3 end
  • Sentence types: 9 statements, 0 questions, 0 exclamations

Often before:

likewise 1× cosine 1×

Often after:

space 5× spaces 1× bundle 1×

Sentence patterns with Cotangent

These short patterns come directly from the example sentences and show how the word is often embedded:

and the cotangent space at 2× all the cotangent spaces of 1× dimension the cotangent bundle of 1× likewise cotangent space is 1× of the cotangent space to 1× tangent and cotangent 1× the cosine cotangent and cosecant 1× times the cotangent 1×

Sentence openings and endings

Common sentence openings:

all the cotangent 1× likewise cotangent space 1× relationships to ordinary 1× the cosine cotangent 1× the introduction of 1× the tangent space 1×

Common sentence endings:

a unit circle 1× canonical tangent vector 1× dual space above 1× in algebraic geometry 1× many possible isomorphisms 1× of the manifold 1×

Words around Cotangent

Just before it in the word index:

cotai 11 cotac 2 cotabato 64 cota 22 cot 83 cosying 14

Just after it in the word index:

cotati 7 cotcher 2 cotchin 6 cotd 3 cote 182 coted 2

Similar in corpus frequency:

aakash 12 aanholt 12 aardwolf 12 abadan 12 abati 12 abcc 12

Corpus analysis for Cotangent

  • In this selection, "cotangent" usually appears near the start of the sentence. The average example has 25 words, and this corpus slice is mostly made up of statements.
  • Around the word, likewise, cosine, space, spaces and bundle stand out and add context to how "cotangent" is used.
  • Recognizable usage signals include and the cotangent space at and all the cotangent spaces of. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "cotangent" sits close to words such as aakash, aanholt and aardwolf, which helps place it inside the broader word index.

Example types with cotangent

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

Since there were 7 palms in a cubit, the seked was 7 times the cotangent. (15 words)

The cosine, cotangent, and cosecant functions of an angle θ constructed geometrically in terms of a unit circle. (18 words)

Likewise, cotangent space is a contravariant functor, essentially the composition of the tangent space with the dual space above. (19 words)

Longer example sentences

The introduction of a Riemannian metric or a symplectic form gives rise to a natural isomorphism between the tangent space and the cotangent space at a point, associating to any tangent covector a canonical tangent vector. (36 words)

All the cotangent spaces of a manifold can be "glued together" (i.e. unioned and endowed with a topology) to form a new differentiable manifold of twice the dimension, the cotangent bundle of the manifold. (35 words)

Relationships to ordinary trigonometric functions are given by Euler's formula for complex numbers: : so: : Thus, hyperbolic functions are periodic with respect to the imaginary component, with period ( for hyperbolic tangent and cotangent). (33 words)

Example sentences (9)

All the cotangent spaces of a manifold can be "glued together" (i.e. unioned and endowed with a topology) to form a new differentiable manifold of twice the dimension, the cotangent bundle of the manifold.

Likewise, cotangent space is a contravariant functor, essentially the composition of the tangent space with the dual space above.

Relationships to ordinary trigonometric functions are given by Euler's formula for complex numbers: : so: : Thus, hyperbolic functions are periodic with respect to the imaginary component, with period ( for hyperbolic tangent and cotangent).

Since there were 7 palms in a cubit, the seked was 7 times the cotangent.

The cosine, cotangent, and cosecant functions of an angle θ constructed geometrically in terms of a unit circle.

The introduction of a Riemannian metric or a symplectic form gives rise to a natural isomorphism between the tangent space and the cotangent space at a point, associating to any tangent covector a canonical tangent vector.

The tangent space and the cotangent space at a point are both real vector spaces of the same dimension and therefore isomorphic to each other via many possible isomorphisms.

This formulation is analogous to the construction of the cotangent space to define the Zariski tangent space in algebraic geometry.

This yields the correspondence between the tangent space defined via derivations and the tangent space defined via the cotangent space.

Common combinations with cotangent

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "cotangent" in a sentence?
An example: "All the cotangent spaces of a manifold can be "glued together" (i.e. unioned and endowed with a topology) to form a new differentiable manifold of twice the dimension, the cotangent bundle of the manifold." This page contains 9 example sentences with the word "cotangent" from authentic English texts.
What does "cotangent" mean?
Cotangent means: In a right triangle, the reciprocal of the tangent of an angle. Symbols: cot, ctg, or ctn
What are synonyms of "cotangent"?
Common synonyms of "cotangent" include: cotan, trigonometric function, circular function.
How many example sentences with "cotangent" are there?
Voorbeeldzinnen.info contains 9 example sentences with "cotangent", drawn from a database of millions of English sentences.