Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:codomain |
[-1, 1]
|
| gptkbp:domain |
Real numbers
|
| gptkbp:Euler's_formula |
cos(x) = (e^{ix} + e^{-ix})/2
|
| gptkbp:evenFunction |
true
|
| gptkbp:firstAppearance |
Ancient Greece
|
| gptkbp:graphics |
wind
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cosine function
|
| gptkbp:integration |
sin(x) + C
|
| gptkbp:inverseFunction |
gptkb:Arccosine
|
| gptkbp:maximumCategory |
1
|
| gptkbp:minimum_value |
-1
|
| gptkbp:notableDerivative |
-sin(x)
|
| gptkbp:notation |
cos
|
| gptkbp:orthogonalTo |
gptkb:Sine_function
|
| gptkbp:period |
2π
|
| gptkbp:range |
[-1, 1]
|
| gptkbp:relatedTo |
gptkb:Sine_function
Tangent function |
| gptkbp:symbol |
cos(x)
|
| gptkbp:Taylor_series_at_0 |
1 - x^2/2! + x^4/4! - x^6/6! + ...
|
| gptkbp:usedIn |
gptkb:Physics
gptkb:Trigonometry Engineering Fourier analysis |
| gptkbp:value_at_0 |
1
|
| gptkbp:value_at_2π |
1
|
| gptkbp:value_at_π |
-1
|
| gptkbp:value_at_π/2 |
0
|
| gptkbp:zeroes |
x = (2n+1)π/2, n ∈ ℤ
|
| gptkbp:bfsParent |
gptkb:Unit_circle
gptkb:Entire_Functions |
| gptkbp:bfsLayer |
7
|