Final answer:
The range of y = csc(x) consists of all values that are less than or equal to -1, or greater than or equal to 1, as these are the values csc(x) can obtain.
Step-by-step explanation:
The range of y = csc(x) is the set of values that y can take as x varies over all valid values in the domain of the cosecant function. The cosecant function is the reciprocal of the sine function, so it is undefined whenever sine is zero (at integer multiples of π, or 180°), and it has large values for small absolute values of sine. As the sine function oscillates between -1 and 1, the cosecant function will take values that are less than or equal to -1 and values that are greater than or equal to 1. Therefore, the correct answer to what the range of y = csc(x) is 'y ≤ -1 or y ≥ 1', which corresponds to option (c).