Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesToFunction |
cosine
sine tangent |
| gptkbp:countryOfOrigin |
gptkb:United_States
|
| gptkbp:field |
gptkb:mathematics
trigonometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Niven's theorem
|
| gptkbp:namedAfter |
gptkb:Ivan_Niven
|
| gptkbp:publicationYear |
1947
|
| gptkbp:publishedIn |
gptkb:American_Mathematical_Monthly
|
| gptkbp:relatedTo |
rational numbers
trigonometric functions roots of unity |
| gptkbp:sentence |
The only rational values of θ for which sin(θ) is rational, with θ in degrees, are θ = 0°, 30°, 90°, 150°, 180°, 210°, 270°, 330°, and their equivalents modulo 360°.
|
| gptkbp:bfsParent |
gptkb:Ivan_Niven
gptkb:Clifford_Wallace_Niven |
| gptkbp:bfsLayer |
8
|