SOLUTION: Given g(x)=2cos(3x-2)+5, explain why the phase shift is not 2 rad and determine the actual phase shift.

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Question 1063625: Given g(x)=2cos(3x-2)+5, explain why the phase shift is not 2 rad and determine the actual phase shift.
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
matrix%281%2C3%2C%22g%28x%29%22%2C%22%22=%22%22%2C2cos%5E%22%22%283x-2%29%2B5%29

We can see why if we factor out 3 within what the 
cosine is being taken of:



The phase shift is determined by what has been added to or 
subtracted from the variable x, NOT 3x.  Only by factoring 
out the coefficient of x (when it isn't 1), can we see in 
the equation what is added to or subtracted from x.

The actual phase shift is 2%2F3 radians to the right.

Edwin