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˚

 

 

 

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

 

 

 

 

 

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

 

 

 

 

 

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

 

 

 This has 2 cycles every 360˚

 

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

 

 

 

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.

 

 

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