# O TRIGONOMETRIC FUNCTIONSDomains and ranges of trigonometric functionsWhat are the domains and ranges of the following functions?Function(Choose one)DomainyCSCxThe set of all real numberss from -1 to 1RangeThe set of all real numbers, except integer multiples of tDomainy= cotxThe set of all real numbers, except odd integer multiples of2RangeThe set of all real numbers less than or equal to 1 or greater than or equal to 1The set of all real numbers(Choose one)Domainy=coSxRangeX

Question

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Step 1

Calculation:

Compute the domain and the range of the function  y = csc(x)  as follows.

Rewrite y = csc(x) as y = 1/sin(x).

since sin(0) = 0, the function is undefined for all integer multiplies of π and for 0.

Thus, the domain of y = csc(x) is the set of all real numbers expect the integer multiplies of π.

Range of y = csc(x) is set of all real numbers less than or equal to −1 or greater than or equal to 1...

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