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Consider the complex number z = 8 (cos(240") + i sin(240°)).Which of the following complex numbers best approximates z?Choose 1 answer:А-4-6.97B6.9 – 4i-6.9 – 4i4 - 6.97

Consider the complex number z 8 cos240 i sin240Which of the following complex numbers best approximates zChoose 1 answerА4697B69 4i69 4i4 697 class=

Respuesta :

Given:

[tex]z=8(\cos (240)+i\sin (240))[/tex]

Solution:

[tex]\begin{gathered} z=8(\cos (240)+i\sin (240)) \\ z=8\cos (240)+i8\sin (240) \end{gathered}[/tex][tex]\begin{gathered} \cos (240)=-0.5 \\ \sin (240)=-0.866 \end{gathered}[/tex][tex]\begin{gathered} z=8\cos (240)+i8\sin (240) \\ =8(-0.5)+i8(-0.866) \\ =-4+i(-6.9) \\ =-4-i6.9 \\ =-4-6.9i \end{gathered}[/tex]

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