Amplitudes and Period

The amplitude is half the distance between
 the maximum and minimum values  of the graph.
The period is the length of 1 cycle of the graph.

 

Example   y=sin x  has amplitude 1  and a period of 360˚

1

 

Example y=2sinx  has amplitude 2  and a period of 360˚

2

 

Example   y=sinx+1  has amplitude 1  and a period of 360˚

3

 

 

Example   y=sin2x  has amplitude 1  and a period of 180˚

4

 This has 2 cycles every 360˚

 

Example y=cos5x  has amplitude 1  and a period of 72˚

5

 

Remember
To find the period, divide 360˚ by the number  before the x.
The number before the x tells you how many cycles will occur.

 

© Alexander Forrest