Write the time domain equation of the phasor - help please?

I = 10<30* ( 10 angle 30 degrees )
they give the answer as
i = sqrt(2) * 10sin ( 2Pi* 50 t + 30 degrees )

I do not understand where the 50 comes from, shouldnt it simply be
i = sqrt(2) * 10sin ( wt + 30 ) ?

Answer:
Yes, they have just substituted w = 2Pi*frequency.

In this case the frequency is 50Hz. Presumably mentioned earlier in the question?
50 represent the frequency an a.c circuit. But they will be no frequency involved in the dc circuit because in an ac circuit u need to find the resultance capacitance and relucatance in the ac circuit

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