Question

Describe how to sketch the graph of y=2sec(x)-3 using its reciprocal function

Answer 1

Answer on e2020 is "Start by graphing the cosine function.  Stretch the graph of y = cos(x) so the amplitude is 2.  Draw vertical asymptotes where the graph crosses the x-axis.  Shift the graph of y = 2cos(x) down 3 units.  Use the maximum and minimum points on the graph of the cosine function as turning points for the secant function. "

Answer 2

The reciprocal function referred here is the inverse trigonometric function identities. The inverse or reciprocal function of sec x is 1/cos x. Replacing secant with cosine, the equation becomes:

y = (2/cos x) - 3

To graph this, assign random values of x, then you'll get corresponding values of y. Plot the points and connect them together. The graph is shown in the attached picture.