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Write an equation of a sine curve with amplitude 4 and period = 3pi/2

Maplesnowy  May 7, 2018
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We have the equation

 

y  = Asin (Bx)

 

The amplitude  =   A   = 4   

 

Finding B   is a little tricky.....we want to  solve this  :

 

2pi / Period  = B

 

2pi  / [ 3pi / 2 ]  = B

 

4pi / 3pi  = B

 

(4/3)  = B

 

So...the equation becomes

 

y  = 4sin (4/3 x)

 

Here's the graph for one period   :  https://www.desmos.com/calculator/ncw51ksw5x

 

 

 

cool cool cool

CPhill  May 7, 2018

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