B Frequnncy and 1/t, I don't really understand

[SsagatroNN]

if freqeuncy is 1/t then if i was given t, then f is the reciprocal of t right?
f=1/t
t=20s
f=1/20
f=0.05Hz right?
another thing,
if 1 is the number of cycles per second, isn't it also a variable?
so if i know the freqeuncy which is 0.05 Hz, and the T is 20s, then the number of cycles is
0.05*20=1
this confuses me,
does this always happen, is the number of cycles multipliedd by the freuqeuncy always one ?

 

[PeroK]

"Frequency", $f$, is the number of cycles per unit time (normally one second).

"Time", $t$, in this context is the time for each cycle.

So, by definition: $t = 1/f; f = 1/t; ft = 1$

 

[Ibix]

It's perhaps less confusing to say that frequency is one over the period, where the period is the time taken for one cycle of whatever it is that's oscillating. "Time", in my mind, is a much more general concept (12 o'clock is a time, but one over 12 o'clock makes no sense), so I find the statement "frequency is one over time" to be difficult to pin down. Using "period" instead helps me keep concepts straight.