Complex signal in polar form

[shazaduh]

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.

 

[Redbelly98]

If you write the function in "a + ib" form, phase is easier to calculate.