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