Periodic versus non-periodic functions (hw1, ECE301)

Read the instructor's comments here.

Periodic Functions in CT - The Tangent Function

A periodic function is a function that repeats itself after a certain time, called the period.

An example of this function is shown below, the tangent function. The tangent function has a period of $ pi $.

$ \tan\theta = \frac{\sin\theta}{\cos\theta}\, $

Non-periodic Functions in CT - The Natural Logarithm

A non-periodic function is a function that does not repeat itself after the same amount of time.

An example of this function is the natural logarithm function, shown below. This function is defined for x > 0, and after x = 0, the function increases.

y = ln(x)