Goniometric form

Determine the goniometric form of a complex number z=110+4i.

Correct answer:

Mod z =  11.22
Arg z =  20.88 °

Step-by-step explanation:

Mod z=z=(Re z)2+(Im z)2=110+16=11.22
tanφ=Re zIm z=1104=0.381 φ=atan2(4,110)  Arg z=φ=20.88=20°5234"  z=110+4i=11.22(cos20°5234"+isin20°5234")

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