I need to find V(out) (magnitude only), in the Phasor domain, in terms of the frequency ω and I need to show that the cutoff frequency of this circuit is 1/RC.
Can any body help me with that..? I will be Grateful.
Yes you show an extremely simple RC lowpass filter. It is simple so its slope is gradual which makes it almost useless as a filter.
Nobody uses the "angular frequency" today.
Your formula for its cutoff frequency is WRONG! It is 1 over 2 pi RC.