Based on their recurrence signals are classified into two types: Periodic and Aperiodic. In the current situation our signal is a periodic signal. Periodic signals repeat themselves over a fixed length of time. This can be represented as

       x(t) = x(t + t')   ∀ t

where t' is an arbitrary, yet fixed, interval of time; x(t) denotes the signal 'x' at the instant 't'.

Another property of a Sine wave or a periodic signal is that x(t) is not unique, i.e.,

       x(t) = x(t + t') = x(t + 2t') = ... 

Frequency is a property common to all signals, and it is defined as inverse of Time Period

ƒ=1/T

For a sinusoidal wave the frequency is

ƒ=ω/2Π

The Amplitude of a signal is defined as a scalar measure of the magnitude of the oscillation.