This video showed you strategies for graphing y = csc x based on the fact that it is the reciprocal function of y = sinx.

Question

 This video showed you strategies for graphing y = csc x based on the fact that it is the reciprocal function

of y = sinx.

Use a similar process to graph y = sec x on the interval    [Hint:  remember the secant is the reciprocal function of y=cos x]

Be sure to use a straightedge for drawing any lines, including dashed or dotted lines for vertical asymptotes.

Answer 1

If you think about where cosine is 1. At those same places secant will be 1. (The reciprocal of 1 is 1). Now think about where cosine is 0. What is the reciprocal of zero? You’d have to be dividing by zero so it is undefined. Wherever cosine is 0, at those same places secant is undefined (vertical asymptote).