|
gptkbp:instanceOf
|
Mathematical Function
|
|
gptkbp:asymptotes
|
x = (2n+1)π/2, n ∈ ℤ
|
|
gptkbp:codomain
|
All real numbers
|
|
gptkbp:continuity
|
On its domain
|
|
gptkbp:defines
|
tan(x) = sin(x)/cos(x)
|
|
gptkbp:domain
|
All real numbers except odd multiples of π/2
|
|
gptkbp:evenOrOdd
|
Odd function
|
|
gptkbp:firstZero
|
x = 0
|
|
gptkbp:graphType
|
Periodic curve with vertical asymptotes
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Tangent Function
|
|
gptkbp:integration
|
-ln|cos(x)| + C
|
|
gptkbp:inverseFunction
|
arctan(x)
|
|
gptkbp:isMonotonicBetweenAsymptotes
|
True
|
|
gptkbp:isUnbounded
|
True
|
|
gptkbp:notableDerivative
|
sec^2(x)
|
|
gptkbp:period
|
π
|
|
gptkbp:range
|
(-∞, ∞)
|
|
gptkbp:reciprocal
|
Cotangent Function
|
|
gptkbp:relatedTo
|
gptkb:Cosine_Function
gptkb:Sine_Function
|
|
gptkbp:symbol
|
tan(x)
|
|
gptkbp:symmetry
|
Origin symmetry
|
|
gptkbp:TaylorSeriesAtZero
|
x + x^3/3 + 2x^5/15 + 17x^7/315 + ...
|
|
gptkbp:undefinedAt
|
x = (2n+1)π/2, n ∈ ℤ
|
|
gptkbp:usedIn
|
gptkb:Calculus
gptkb:Complex_Analysis
gptkb:Trigonometry
|
|
gptkbp:valueAtPi
|
0
|
|
gptkbp:valueAtPiOverFour
|
1
|
|
gptkbp:valueAtZero
|
0
|
|
gptkbp:zeros
|
x = nπ, n ∈ ℤ
|
|
gptkbp:bfsParent
|
gptkb:Cosine_Function
gptkb:Sine_Function
|
|
gptkbp:bfsLayer
|
7
|