# What is the period of f(t)=sin( 11t)?

The period of sin (kt) is 2$\pi$/k. Answer: 2$\pi$/11.
x = Sin (t) graph is a series of continuous and periodic waves touching x - 1 and x = 1. The values repeat in an interval of 2$\pi$ for t, since sin (2$\pi$ + t ) = sin ( t ). Here, the period is shortened to 2$\pi$/11 due to scaling of t by 11. .