Question

A maximum point on the graph y = cos x corresponds to _____.
A. a minimum point on the graph y = sec x B. a minimum point on the graph y = csc x
C. a maximum point on the graph y = sin x D. a maximum point on the graph y = cot x

Answer 1

Do you know the shapes of the graphs of the trig functions?

Answer 2

I ask because the shapes of some are derived from the shapes of others. If you know what that relationship is, this will become clear.

Answer 3

sec(x) = 1/cos(x), so when cos(x) is smallest, sec(x) is largest, and when cos(x) is largest, sec(x) is at its smallest.