Cosecant Function

GPTKB entity

Statements (22)
Predicate Object
gptkbp:instanceOf Mathematical Function
gptkbp:antiderivative ln|tan(x/2)| + C
gptkbp:domain All real numbers except integer multiples of π
gptkbp:evenOrOdd Odd Function
gptkbp:expressedIn csc(x) = 1/sin(x)
gptkbp:firstDerivative -csc(x)cot(x)
gptkbp:hasAsymptoteAt x = nπ, n integer
https://www.w3.org/2000/01/rdf-schema#label Cosecant Function
gptkbp:isPeriodic True
gptkbp:minimumAbsoluteValue 1
gptkbp:period
gptkbp:range (-∞, -1] ∪ [1, ∞)
gptkbp:reciprocalOf gptkb:Sine_Function
gptkbp:secondDerivative csc(x)(2cot^2(x)+1)
gptkbp:symbol csc
gptkbp:undefinedAt nπ, where n is an integer
gptkbp:usedIn gptkb:Physics
gptkb:Calculus
gptkb:Trigonometry
Engineering
gptkbp:bfsParent gptkb:Sine_Function
gptkbp:bfsLayer 7