What is the period of #f(t)=sin( ( t ) /3 ) #?

1 Answer
Trevor Ryan.
Jan 22, 2016

#(2pi)/3 rad=120^@#

Explanation:

For a general sine graph of form #y=AsinBt#, the amplitude is #A#, the period is #T=(2pi)/B# and represents the distance on the t-axis for 1 complete cycle of the graph to pass.

So in this particular case, the amplitude is 1 and the period is
#T=(2pi)/3# radians #=120^@#.

graph{sin(1/3x) [-16.02, 16.01, -8.01, 8.01]}

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