Chapter 4.6, Problem 14PE

To determine

The correct statement from the given options for the condition when the graph of $y=\sin x$ has a relative minimum at $x$ .

(a). $y=\csc x$ is undefined.

(b). $y=\sec x$ is undefined.

(c). The graph of $y=\sec x$ has a relative maximum at $x$ .

(d). The graph of $y=\csc x$ has a relative minimum at $x$ .

(e). The graph of $y=\sec x$ has a vertical asymptote.

(f). The graph of $y=\csc x$ has a vertical asymptote.

(g). The graph of $y=\csc x$ has a relative maximum at $x$ .

(h). The graph of $y=\sec x$ has a relative minimum at $x$ .