|
gptkbp:instanceOf
|
Mathematical Function
|
|
gptkbp:antiderivative
|
sin(x) + C
|
|
gptkbp:codomain
|
[-1, 1]
|
|
gptkbp:continuity
|
true
|
|
gptkbp:differentiable
|
true
|
|
gptkbp:domain
|
gptkb:Real_Numbers
|
|
gptkbp:evenFunction
|
true
|
|
gptkbp:firstDerivative
|
-sin(x)
|
|
gptkbp:FourierTransform
|
π[δ(ω-1)+δ(ω+1)]
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Cosine Function
|
|
gptkbp:integration
|
sin(x) + C
|
|
gptkbp:inverseFunction
|
arccos(x)
|
|
gptkbp:maximumSpeed
|
1
|
|
gptkbp:minimumPressure
|
-1
|
|
gptkbp:notableDerivative
|
-sin(x)
|
|
gptkbp:orthogonalTo
|
gptkb:Sine_Function
|
|
gptkbp:par
|
Even
|
|
gptkbp:period
|
2π
|
|
gptkbp:range
|
[-1, 1]
|
|
gptkbp:realPartOf
|
e^{ix}
|
|
gptkbp:relatedTo
|
gptkb:Secant_Function
gptkb:Tangent_Function
gptkb:Sine_Function
|
|
gptkbp:relationToEulerFormula
|
cos(x) = (e^{ix} + e^{-ix})/2
|
|
gptkbp:secondDerivative
|
-cos(x)
|
|
gptkbp:shape
|
wind
|
|
gptkbp:symbol
|
cos(x)
|
|
gptkbp:TaylorSeriesAt0
|
1 - x^2/2! + x^4/4! - x^6/6! + ...
|
|
gptkbp:unitCircleDefinition
|
x-coordinate of point on unit circle at angle x
|
|
gptkbp:usedFor
|
Fourier analysis
Rotations
Oscillations
Wave analysis
Calculating distances
Modeling periodic phenomena
Solving triangles
|
|
gptkbp:usedIn
|
gptkb:Signal_Processing
gptkb:Physics
gptkb:Trigonometry
Engineering
|
|
gptkbp:valueAt0
|
1
|
|
gptkbp:valueAtPi
|
-1
|
|
gptkbp:valueAtPiOver2
|
0
|
|
gptkbp:zeros
|
(2n+1)π/2, n∈Z
|
|
gptkbp:bfsParent
|
gptkb:Analytic_Functions
|
|
gptkbp:bfsLayer
|
6
|