SOLUTION: Please help me solve this periodic functions question : 1. Write an equation for the following graph in the form y= asin kx a) with a= 1/5, p= ∏/3 ( ∏=pi) (1/5, &#8

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Question 203991: Please help me solve this periodic functions question : 1. Write an equation for the following graph in the form y= asin kx
a) with a= 1/5, p= ∏/3
( ∏=pi) (1/5, ∏/3, are fractions)

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Please help me solve this periodic functions question : 1. Write an equation for the following graph in the form y= asin kx
a) with a= 1/5, p= ∏/3
------
Your problems are all the same.
For the sin function the period is always (2pi)/b
where "b" fits into the form y = asin(bx+c)+d
-------------------------------------------
Your Problem:
You are given that a = 1/5 and the period is pi/3
Therefore (2pi)/b = (pi/3)
So 6pi= pi*b
And b = 6
----
So your equation is y = (1/5)sin(6x)
==============================================
Cheers,
Stan H.

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