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gptkbp:instanceOf
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gptkb:Mathematical_Function
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gptkbp:asymptotes
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x = (2n+1)π/2, n ∈ ℤ
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gptkbp:codomain
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All real numbers
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gptkbp:continuity
|
On its domain
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gptkbp:defines
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tan(x) = sin(x)/cos(x)
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gptkbp:domain
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All real numbers except odd multiples of π/2
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gptkbp:evenOrOdd
|
Odd function
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gptkbp:firstZero
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x = 0
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gptkbp:graphType
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Periodic curve with vertical asymptotes
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gptkbp:integration
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-ln|cos(x)| + C
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gptkbp:inverseFunction
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arctan(x)
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gptkbp:isMonotonicBetweenAsymptotes
|
True
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gptkbp:isUnbounded
|
True
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gptkbp:notableDerivative
|
sec^2(x)
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gptkbp:period
|
π
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gptkbp:range
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(-∞, ∞)
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gptkbp:reciprocal
|
Cotangent Function
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gptkbp:relatedTo
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gptkb:Cosine_Function
gptkb:Sine_Function
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gptkbp:symbol
|
tan(x)
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gptkbp:symmetry
|
Origin symmetry
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gptkbp:TaylorSeriesAtZero
|
x + x^3/3 + 2x^5/15 + 17x^7/315 + ...
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gptkbp:undefinedAt
|
x = (2n+1)π/2, n ∈ ℤ
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gptkbp:usedIn
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gptkb:Calculus
gptkb:Complex_Analysis
gptkb:Trigonometry
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gptkbp:valueAtPi
|
0
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gptkbp:valueAtPiOverFour
|
1
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gptkbp:valueAtZero
|
0
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gptkbp:zeros
|
x = nπ, n ∈ ℤ
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gptkbp:bfsParent
|
gptkb:Cosine_Function
gptkb:Sine_Function
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gptkbp:bfsLayer
|
8
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https://www.w3.org/2000/01/rdf-schema#label
|
Tangent Function
|