unit circle

GPTKB entity

Statements (44)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
mathematical_concept
gptkbp:angleMeasuredFrom positive x-axis
gptkbp:area π
gptkbp:centralTo origin
gptkbp:defines A circle with a radius of one, centered at the origin in the Cartesian coordinate system
A circle with a radius of one, centered at the origin in the Euclidean plane
gptkbp:diameter 1

gptkbp:dimensions 2D
gptkbp:hasEquation x^2 + y^2 = 1
gptkbp:hasPoint (0,1)
(1,0)
(-1,0)
(0,-1)
https://www.w3.org/2000/01/rdf-schema#label unit circle
gptkbp:locatedIn Euclidean plane
Cartesian_plane
gptkbp:parameter (cos θ, sin θ)
gptkbp:parametric_equation x = cos(θ), y = sin(θ)
gptkbp:pointOnCircle (0,1)
(1,0)
(-1,0)
(0,-1)
gptkbp:relatedTo Euler's_formula
cosine_function
sine_function
gptkbp:usedFor defining secant and cosecant
defining sine and cosine
defining tangent and cotangent
gptkbp:usedIn gptkb:geometry
complex analysis
trigonometry
complex_analysis
gptkbp:visualizes gptkb:Euler's_formula
roots of unity
rotation in the plane
gptkbp:bfsParent gptkb:matplotlib.path
gptkb:Herglotz's_theorem
gptkb:unit_disk
gptkb:Thompson_group_T
gptkb:Trigonometry
gptkbp:bfsLayer 6
7