Question
Show that y(t) = A sin ωt is periodic function of period 2 ϕ / ω.
Solution
Given,
y(t) = A sin ωt
We have to prove that y(t) is a periodic function of period 2 ϕ / ω.
Therefore,

Therefore, y(t) is periodic function of period 2π /ω.
y(t) = A sin ωt
We have to prove that y(t) is a periodic function of period 2 ϕ / ω.
Therefore,

Therefore, y(t) is periodic function of period 2π /ω.