What is the Domain Range and Vertical Asymptote of Cosecant

The video tutorial explains how to find the domain and range of the cosecant function. It begins by graphing the sine function, as cosecant is its reciprocal. The tutorial highlights the creation of vertical asymptotes at the intercepts of the sine function, which are points where the cosecant function is undefined. The domain is all real numbers except where x equals multiples of π. The range is from negative infinity to -1 and from 1 to infinity, as there are no output values between -1 and 1.

How does the graph of the cosecant function relate to the graph of the sine function?

What happens to the cosecant function at the intercepts of the sine function?