Graph the expression sec2 x - sec2 x sin2 x on your calculator. Determine what constant or single function is equivalent to the given expression.

The given function is

f (x) = sec²x - sec²x sin²x

Note that

sin²x + cos²x = 1, so that 1 - sin²x = cos²x.

Also, sec (x) = 1/cos (x).

Therefore

f (x) = sec²x (1 - sin²x)

= sec²x cos²x

= 1

Answer:

The graph of the given function should be a constant value of 1.

The graph is shown below.