Let `z_1 and z_2`q, be two complex numbers with `alpha and beta` as their principal arguments such that `alpha+beta` then principal `arg(z_1z_2)` is g

Question

Let `z_1 and z_2`q, be two complex numbers with `alpha and beta` as their principal arguments such that `alpha+beta` then principal `arg(z_1z_2)` is g

Let `z_1 and z_2`q, be two complex numbers with `alpha and beta` as their principal arguments such that `alpha+beta` then principal `arg(z_1z_2)` is given by:
A. `alpha+beta+pi`
B. `alpha+beta-pi`
C. `alpha+beta-2pi`
D. `alpha+beta`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - C
`(c )` `arg(z_(1)z_(2))=arg(z_(1))+arg(z_(2))+2mpi`, `m in I`
`:.` Principal argument `=alpha+beta-2pi`

5 views Answered 2023-02-05 15:29