### Video Summary:

Graphs of the Cosecant and Secant Functions
Cosecant values are reciprocals of the corresponding sine values.
If sin x = 1, the value of csc x is 1. Similarly, if sin x = –1,
then csc x = –1.
When 0 < sin x < 1, then csc x > 1. Similarly,
if –1 < sin x < 0, then csc x < –1.
When approaches 0, the gets larger. The graph of y = csc x approaches the vertical line x = 0.
In fact, the vertical asymptotes are the lines x = n. Cosecant Function
Discontinuous at values of x of the form x = n, and has vertical asymptotes at these values.
No x-intercepts.
Its period is 2 with no amplitude.
Symmetric with respect to the origin, and is an odd function.
Secant Function
Discontinuous at values of x of the form (2n + 1) , and has vertical asymptotes at these values.
No x-intercepts.
Its period is 2 with no amplitude.
Symmetric with respect to the y-axis, and is an even function.