Question: Identify the statement which is not true for y = cosec x.
A ) Range is (- ∞, - 1) ∪ [1, ∞]. B ) The maximum value is y = - 1 and minimum value is y = 1. C ) Domain is the set of all real numbers. D ) Period is 2π.
Steps to derive
2 From the graph of the cosecant function, we can observe that the maximum value occurs at - 1 and minimum value occurs at 1.
3 The period is 2π.
4 The range of the function is the set of real values except (- 1, 1).
5 The domain of the function is the set of all real value except for x ≠ nπ.
6 So, domain is the set of all real number is not true from the given choices.
