How can the phase of a complex signal in polar form be determined?

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To determine the phase of the complex signal x(t) = t / (1 + it), the discussion highlights the importance of expressing the function in "a + ib" form. The amplitude has been identified as |t| / √(1 + t²). Participants suggest that rewriting the signal in this format simplifies the calculation of the phase. The phase can then be derived using the arctangent function of the imaginary part divided by the real part. Overall, the key to finding the phase lies in converting the signal to its rectangular form.
shazaduh
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Hi I found this problem in the Fundamentals of Signals and Systems by Boulet problem 1.1

find the polar form of following signal.

x(t) = t / ( 1 + it)

I know Amplitude = |t| / (\sqrt{(1 + t^{2})}

now how do we find the phase. Any help is appreciated.
 
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If you write the function in "a + ib" form, phase is easier to calculate.
 

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