The domaine of y=cosecx is
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Domain and Range for Sec, Cosec and Cot Functions
The range of sec x will be R- (-1,1). Since, cos x lies between -1 to1, so sec x can never lie between that region. cosec x will not be defined at the points where sin x is 0. Hence, the domain of cosec x will be R-nπ, where n∈I.
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