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

1 Answer
Apr 17, 2016

Answer:

#+-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.