Posted by **Jon** on Thursday, August 6, 2009 at 11:29am.

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 -
**Aayush**, Thursday, August 6, 2009 at 11:56am
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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