true or false statement

Question

True or false:

The graph of y=sec(x) has asymptotes where cos(x)=o

Answer 1

secant is the reciprocal of cosine, or 1/cosine.  so y = sec(x) = 1/cos(x)

 

Vertical asymptotes occur where ther is division by 0.

Thus, when cos(x) =0, we would have 1/0.

 

Division by 0 is undefined, and that appears as a vertical assymptote on the graph.

 

The statement is true.