To Rectangular

The questions below are due on Wednesday September 18, 2024; 10:00:00 PM.

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Express each of the following complex numbers in rectangular form (x + jy). Your answers may make use of pi and sqrt.

Polar form: \frac{1}{2}e^{j\pi}
Rectangular form: x+jy

x =~

y =~

Polar form: \frac{1}{2}e^{-j\pi}
Rectangular form: x+jy

x =~

y =~

Polar form: e^{j\pi/2}
Rectangular form: x+jy

x =~

y =~

Polar form: e^{-j\pi/2}
Rectangular form: x+jy

x =~

y =~

Polar form: e^{j5\pi/2}
Rectangular form: x+jy

x =~

y =~

Polar form: \sqrt{2}e^{j\pi/4}
Rectangular form: x+jy

x =~

y =~

Polar form: \sqrt{2}e^{j9\pi/4}
Rectangular form: x+jy

x =~

y =~

Polar form: \sqrt{2}e^{-j9\pi/4}
Rectangular form: x+jy

x =~

y =~

Polar form: \sqrt{2}e^{-j\pi/4}
Rectangular form: x+jy

x =~

y =~

Polar form: 4e^{j\pi/6}\times 4e^{j\pi/2}
Rectangular form: x+jy

x =~

y =~

Polar form: 8e^{j\pi} / 2e^{-j\pi/4}
Rectangular form: x+jy

x =~

y =~

Polar form: 8e^{j\pi/3} + 4e^{-j\pi/6}
Rectangular form: x+jy

x =~

y =~