What is the range of y is equal to cosecant of x ?

Since cosecant is the reciprocal of sine, y = 1/sin(x). Sine values are between −1 and 1, and sine cannot be 0 where cosecant is defined. Taking the reciprocal gives y ≤ −1 or y ≥ 1, so the range is the choice stating those two intervals.

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