Respuesta :

Using it's formula, it is found that the argument of the complex number z = 4+ 3i is of 37º.

The standard format of a complex number is:

[tex]z = a + bi[/tex]

In which:

  • a is the real part.
  • b is the imaginary part.

The argument is given by:

[tex]\theta = \tan^{-1}\left(\frac{b}{a}\right)[/tex]

In this problem, the number is:

[tex]z = 4 + 3i[/tex]

Hence, [tex]a = 4, b = 3[/tex], and:

[tex]\theta = \tan^{-1}\left(\frac{3}{4}\right) = 37[/tex]

For more on the argument of a complex number, you can take a look at https://brainly.com/question/4569130

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