cotangent

Noun

Meaning

The tangent of the complement of an arc or angle. See Illust. of Functions.

Synonyms

Hypernyms

Phrases with the word

Examples

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. Source: Internet

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

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). Source: Internet

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

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

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. Source: Internet

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