Question

What is periodic function?

Answer 1

A function with periods in it. Namely sine and cosine functions. Periods, meaning, they repeat themselves at exact intervals. For example, the sine function repeats itself at \(2\pi\) which is also the period of the function.

Answer 2

isn't it that cosine also has a period of \[2\pi\] ??

Answer 3

@Hero

Answer 4

Yup

Answer 5

what about tangent ? does tangent has a period? and what is it if yes?
:)

Answer 6

Yes tangent also has a period. It repeats every pi

Answer 7

Why pi? could you draw the graph of it?

Answer 8

sorry if I ask many questions :)

Answer 9

You have to think of it in terms of the unit circle. No matter what angle you choose, the tangent of that angle will be the same at both points on the circle which forms a straight line. You learned in geometry that a straight line is 180 degrees. A line that goes through the center of the unit circle will hit the circle at two points. For example:



tan(60) = tan(240) therefore, the period of tan is pi