Phase of a transfer function

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hoki222

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Hi can somebody explain, how to derive the phase function from the following transfer function:

H(s)=s/(s^2+s+1)

I found the Magnitude already to be

|H(jw|=w/root[w^2+(1-w^2)^2]

I know the relationship Angle=arctan(Im/Re) but still cant find the right phase function. Plz Help!
 

you put in s = jw

then work it thru
 

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