Advanced Math

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Write an equation of the cosine function with amplitude 2, period pi, phase shift pi/4.

y=acosx

y=2cos2(x-pi/4)

I got it wrong

  • Advanced Math -

    The general equation of such cosine function is:y=acos(x-phasedifference),
    y=displacement
    a=amplitude
    x=angular displacement
    =(angular velocity)*time
    =(2pi/time period)*time
    Therefore, the equation can be written as: y=2cos[x-(pi/4)]..........(a)
    or,y=2cos[(2pi/pi)*t-(pi/4)]
    or,y=2cos[2t-(pi/4)].........(b)
    where t=time
    Mathematically, equation (a) is suitable
    Physically, equation (b) is suitable

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