Question

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Two cases for Principal argument of complex no. (z)




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Answer 1

For our case the imaginary part is positive and so this complex number will be on the positive y y -axis. Therefore, the principal value and the general argument for this complex number is, Argz=π2argz=π2+2πn=π(12+2n)n=0,±1,±2,… Arg z = π 2 arg ⁡ z = π 2 + 2 π n = π ( 1 2 + 2 n ) n = 0 , ± 1 , ± 2 ,

Answer 2

With complex numbers z visualized as a point in the complex plane, the argument of z is the angle between the positive real axis and the line joining the point to the origin, shown as. in Figure 1 and denoted arg z.

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