Consider the complex number 2 = V17 (cos(104°) + i sin(104°)).Plot z in the complex plane below.If necessary, round the point's coordinates to the nearest integer.Im5+4+3+2+1 +ReA+-5+-4-3-2-112345-1+-2-3 +-4+-5 +

Consider the complex number 2 V17 cos104 i sin104Plot z in the complex plane belowIf necessary round the points coordinates to the nearest integerIm54321 ReA543 class=

Respuesta :

Recall that to plot a point in the complex plane we have to know its real part and its imaginary part.

The real part of the given number is

[tex]\sqrt[]{17}\cos 104^{\circ},[/tex]

and its imaginary part is

[tex]\sqrt[]{17}\sin 104^{\circ}.[/tex]

Simplifying the above expressions, and rounding to the nearest integer we get that:

[tex]\begin{gathered} \operatorname{Re}(z)=-1, \\ \operatorname{Im}(z)=4. \end{gathered}[/tex]

Therefore, the point has coordinates (-1,4).

Answer:

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