Question

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

Answer 1

The period of sin (kt) is 2`pi`/k. Answer: 2`pi`/11.

Explanation:

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. .