# The functions sin x, cos x and tan x

- Author:
- Megan Dunford

- Topic:
- Functions

## The functions sin x, cos x, tan x

In exercise 5.7 we looked at the functions sin x, cos x, tan x and their graphs. In this GeoGebra you are going to look at how the functions can alter and what properties such as amplitude and periodicity they have.

For the following questions think about the following properties: domain, range, period, x-intercepts, y-intercepts, maximum points, minimum points, symmetry, intervals of increase and decrease and asymptotes

## The function sin x

What properties do you know about the function f(x) = sin(x)?

## The function cos x

What properties do you know about the function g(x)= cos (x)?

## The function tan x

What properties do you know about the function h(x)= tan (x)?