What is the period of $f(t)=sin( 8 t)$ ?

Question

1549 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-26T16:16:30

$pi/4$

f(x)= sin ax.
Period of such a function is $2*pi/a$
Here, a =8
period= $2*pi/8$ = $pi/4$

You can verify this by substituting various values for x, to find that the values repeat after every $pi/4$ interval.

What is the period of f(t)=sin( 8 t)f(t)=sin( 8 t)?