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Consider the complex numbers  and  in the complex plane below:

pic is deleted - possible copyright

 


Find the rectangular forms of v,w,z
and enter them in that order.

 Mar 20, 2022
edited by Melody  Mar 21, 2022
edited by Melody  Mar 21, 2022
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\(120^\circ=\frac{2\pi}{3}\;radians\)

 

hint:

(this example is a bit harder than your ones but the method is the same.)

\(A=2.5e^{\frac{2\pi}{3}i}\\ A=2.5[(cos\frac{2\pi}{3})+isin(\frac{2\pi}{3})]\\ A=2.5[-(cos\frac{\pi}{3})+isin(\frac{\pi}{3})]\\ A=2.5[-(\frac{\sqrt3}{2})+i(\frac{1}{2})]\\ A=1.25[-(\sqrt3)+i)]\\ A=-1.25\sqrt3+1.25i\\\)

 

 Mar 21, 2022

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