Sections:

Graphing Trigonometric Functions, Page 9

Cosecant Function

The last two trigonometric functions you will learn how to graph are the cosecant and secant functions. Since the cosecant and secant functions are the reciprocals of sine and cosine, those two functions have also been included in the respective graphs as references.

The following is the graph of f(x) = csc(x):

graph of f(x) = csc(x)

The following are the properties of the graph of f(x) = csc(x):
The period is 2pi.
The domain is All Real Numbers  except n times pi, where n is any integer.
The range is all real numbers greater than or equal to one and all real numbers less than or equal to negative one.
There are no x-intercepts.
There is no y-intercept.
The asymptotes are x equals n times pi, where n is any integer.