Solving Radian Equation: Amp=2/3, Period=4╥, Shift=╥/2

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Homework Help Overview

The discussion revolves around writing an equation for a sine function characterized by an amplitude of 2/3, a period of 4π, and a phase shift of π/2, all expressed in radians.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants attempt to formulate the sine function equation based on the given parameters, with some suggesting the use of cosine instead. Questions arise regarding the definitions of period and phase shift in the context of the proposed equations.

Discussion Status

There is an ongoing exploration of different function forms, with participants questioning the validity of their proposed equations and the definitions of key terms. No consensus has been reached, and the discussion remains open-ended.

Contextual Notes

Some participants express uncertainty about the correct application of the period and phase shift in their equations, indicating a need for clarification on these concepts.

lucifer_x
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Homework Statement


Write an equation of a sine function with a amp=(2/3) , Period = 4╥ and a phase shift of ╥/2.

in radians



Homework Equations





The Attempt at a Solution


i got

y = 2/3 cos (2...
 
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lucifer_x said:

Homework Statement


Write an equation of a sine function with a amp=(2/3) , Period = 4╥ and a phase shift of ╥/2.

in radians



Homework Equations





The Attempt at a Solution


i got

y = 2/3 cos (2...


Keep going... (and use the sin function)
 
so would the answer be

y = - 2/3 sin ( 2Θ + π )

and

y = 2/3 sin ( 2Θ + π )

??
 
lucifer_x said:
so would the answer be

y = - 2/3 sin ( 2Θ + π )

and

y = 2/3 sin ( 2Θ + π )

??

I don't think so. How is the period of these functions defined? How is the phase shift defined?
 

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