Determine whether the given trigonometric function is increasing, decreasing, or neither on the given interval.
(a) f(x) = sec(x) on [-?/2,?/2]
(b) f(x) = csc(-x) on (0,?/2)
(c) f(x) = sec(x/2) on [-?/2,?/2]
(d) f(x) = csc(2x) on (0,?/4)
(e) f(x) = sec(x+?/2) on (0,?/2)
(f) f(x) = sec(x)-csc(x) on (0,?/2)