Write each expression in terms of sines and or cosines and then simplify sec(x) and cos(x)

To rewrite each expression in terms of sines and cosines, we can use the following trigonometric identities:

1. sec(x) = 1/cos(x)
2. cos(x) = 1/sec(x)

Therefore, in order to simplify sec(x) and cos(x), we can substitute one in terms of the other.

1. Simplifying sec(x):
sec(x) = 1/cos(x)

2. Simplifying cos(x):
cos(x) = 1/sec(x)