4.6 The Cosecant Function and the Inverse Cosecant Function

. The Cosecant Function and the Inverse Cosecant Function Like sine function, the cosecant function is an odd function and has period p . The values of cosecant function y = cosec repeat after an interval of length p .Observe that y cosec is not defined when sin x = . So, the domain of cosecant function is \ : ∈ { } . Since −≤ sin x , y = cosec does not take any value in between - and . Thus, the range of cosecant function is ( , ] [ , −∞ ∪ ∞