Question

How do you determine a periodic function with the following characteristics: amplitude = 3 and period = 4pi?

Answer 1

`+-3 sin (t/2+c)`, where c is a constant.

Explanation:

The period of a sin kt is `(2pi)/k` and the amplitude is `|a|`.
Addition of c un the argument does not affect amplitude and period.
Check: Addition of period to t should amount to adding `2pi` to the whole argument.