Final answer:
To fully simplify sin(-x)cos(-x)sec(-x), you can use the trigonometric identity sec(x) = 1/cos(x) along with the fact that sine and cosine functions are odd functions.
Step-by-step explanation:
To fully simplify sin(-x)cos(-x)sec(-x) using the fundamental identities, we can start by using the trigonometric identity:
sec(x) = 1/cos(x)
Next, since sine and cosine functions are both odd functions, we have:
sin(-x) = -sin(x) and cos(-x) = cos(x)
Therefore, sin(-x)cos(-x)sec(-x) = (-sin(x))(cos(x))(1/cos(x)) = -sin(x)