Tangente

GPTKB entity

Statements (24)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:Tangent
gptkbp:asymptotes x = π/2 + kπ, k ∈ ℤ
gptkbp:defines tan(x) = sin(x)/cos(x)
gptkbp:domain All real numbers except odd multiples of π/2
gptkbp:firstPositiveZero 0
gptkbp:graphType Periodic curve with vertical asymptotes
https://www.w3.org/2000/01/rdf-schema#label Tangente
gptkbp:integration -ln|cos(x)| + C
gptkbp:inverseFunction arctan(x)
gptkbp:minimumPeriod π
gptkbp:notableDerivative sec^2(x)
gptkbp:oddFunction true
gptkbp:range All real numbers
gptkbp:recurrence π
gptkbp:symmetry Origin (odd function)
gptkbp:TaylorSeriesAt0 x + x^3/3 + 2x^5/15 + 17x^7/315 + ...
gptkbp:undefinedAt x = π/2 + kπ, k ∈ ℤ
gptkbp:usedIn gptkb:geometry
gptkb:Calculus
gptkb:Trigonometry
gptkbp:valueAt0 0
gptkbp:bfsParent gptkb:Nomos_Glashütte
gptkbp:bfsLayer 7