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Which complex number's graph is shown? 1 2 3 4 -1 و زر زر مع -3 37 O A. 2J7(cos 3* i sin O + 32T 4 O B. 2.2(cos 225° + i sin 225º) O C. 2lcos 2(cos 7+isin 4 4 D. -2(co 5135° + i sin135)

Which complex numbers graph is shown 1 2 3 4 1 و زر زر مع 3 37 O A 2J7cos 3 i sin O 32T 4 O B 22cos 225 i sin 225º O C 2lcos 2cos 7isin 4 4 D 2co 5135 i sin135 class=

Respuesta :

The point (-2,2), we need to evaluate each case

In this case, for the real part we need to obtain -2

[tex]_{}2\sqrt[]{2}(\cos (\frac{3\pi}{4}))=-2[/tex]

For the imaginary part, we need to obtain 2

[tex]2\sqrt[]{2}(\sin (\frac{3\pi}{4}))=2[/tex]

As we can see the complex number that is shown in the graph is

[tex]2\sqrt[]{2}(\cos (\frac{3\pi}{4})+i\sin (\frac{3\pi}{4}))[/tex]

ANSWER

A.