What is the period of #f(t)=sin( 9 t)#?

1 Answer
Jan 12, 2016

#(2pi)/9# radians

Explanation:

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

So in this particular case, #T=(2pi)/9#.

For verification purpose you may plot the actual graph :

graph{sin(9x) [-2.735, 2.74, -1.369, 1.366]}