# (tan x) - Periodicity and other simple properties of functions

In exercise 5.7 and 5.8 you looked and the periodicity and other simple properties of functions.
Where,
has amplitude 1 and period
has amplitude 1 and period
has no amplitude and period
In this GeoGebra you are going to look at the different properties and periodicity of each function and what happens when you alter the functions with different functions

## Periodicity and other simple properties of f(x) = tan(x)

has no amplitude and period .
Have a play with the GeoGebra below. Notice what happens to the period when you move the sliders

## Amplitude of the function f(x) = tan(x)

Explain why the function f(x) = tan(x) has no amplitude

## Period of the function f(x) = tan(x)

Explain what happens to the function f(x) = tan(x) when the period (b) is . (Hence when the slider =1)

## Period of the function f(x) = tan(x)

Explain what happens to the function f(x) when the period (b) is . (Hence when the slider =5)

## Period of the function f(x) = tan(x)

Explain what happens to the function f(x) when the period (b) is . (Hence when the slider =-3)