The inverse cosecant is the multivalued function csc^(-1) z, also denoted arccsc z, that is the inverse function of the cosecant. The variants Arccsc z (e.g., Beyer 1987, p. 141; Bronshtein and Semendyayev, 1997, p. 70) and Csc^(-1) z are sometimes used to refer to explicit principal values of the inverse cosecant, although this distinction is not always made (e.g, . Zwillinger 1995, p. 466). Worse yet, the notation arccsc z is sometimes used for the principal value, with Arccsc z being used for the multivalued function. Note that in the notation csc^(-1) z (commonly used in North America and in pocket calculators worldwide), csc z is the cosecant and the superscript -1 denotes an inverse function, not the multiplicative inverse.
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