Euler’s identity can be used to write any complex number in polar complex form,re^iθ, (yes like polargraphing). Write 2 + 4√3i and −1 in polar complex form. For example,i has polar coordinates(1,π/2) and its polarcomplex form is 1e^iπ/2= 1(cos(π/2)+i sin(π/2))= 1(0 +i (1)) =i.

Consider the equation (6 + 7 i) z³ = 5(3 - 5 i). (i) Rearrange the equation into the form z³ = zo where zo is in the simplified complex form a + i b. (ii) Rewrite zo in polar form, using cis or exponential notation.

Find all cube roots of the complex number 64(cos (219°) + i sin (219°). Leave answers in polar form and show all work.

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Question 1. Answer the following with respect to complx number:   Express the complex number 4i in polar form and  Plot the complex numbers 2 + (iπ/3), −1 + (iπ), 2e^(iπ/6) as arrows in a 2D plane.

Convert the complex number z = 3 cos 2= help (numbers) Note: You can earn partial credit on this problem. 11T 6 + + i sin 11T 6 from polar to rectangular form. Make sure to evaluate the trigonometric functions.

"The complex conjugate, or simply conjugate of a complex number is found by reversing the algebraic sign of the complex number's real and imaginary number."  True  False Technically, a phase angle is the angle, in degrees or radians, that the waveform has shifted from a certain reference point along the horizontal zero axis. "  True  False   A time representation of a sinusoid generally indicates the use of counter-clockwise rotating vector representation of sinusoids which involves both a magnitude and a direction.  True  False "Phase difference is the difference, expressed in electrical degrees or time, between two waves having the same frequency and referenced to the same point in time"  True  False   To perform phasor addition, its better expressed the phasors in rectangular form and add all the real compnents and imaginary components together to get the sum of the phasors."  True  False

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