# Graphing Trig Functions

Author:
Marc Azara

## Use the sliders for a and b, discuss the following:

- what happens to the amplitude as you change the value of a? - what happens to the period as you change the value of b? - Summarise your findings EXTENSION: Graph y = asin(bx+c) and discuss the effect of changing the value of c.

## Use the sliders for a and b, discuss the following:

- what happens to the amplitude as you change the value of a? - what happens to the period as you change the value of b? - Summarise your findings EXTENSION: Graph y = acos(bx+c) and discuss the effect of changing the value of c.

## Use the sliders for a and b, discuss the following:

- what happens to the amplitude as you change the value of a? - what happens to the period as you change the value of b? - Summarise your findings EXTENSION: Graph y = atan(bx+c) and discuss the effect of changing the value of c.

## What did you discover?

- what value of c will make y=cos(x+c) the same as y = sinx? - what value of c will make y=sin(x+c) the same as y = cosx? - How does this relate to the right-triangle definitions of sine and cosine? - Summarise your findings