From a wave standpoint (sinusoidal), can amplitude and magnitude be used interchangeably?

Question

Wave equations in the form of Acos(wt 0), define A to be amplitude. Why is it never defined as magnitude? If it is expressed as a phasor, it automatically assumes the term magnitude. Is there a subtle distinction between the two for waves?

Answer 1

Nah it should be the same thing from my understanding. Amplitude is what its actually called. Magnitude could possibly mean any value between -A and A depending on the data but the greatest magnitude is the amplitude and so A.