De Moivre's formula

There are two distinct complex numbers, such that z3 is equal to 1 and z is not equal to 1.

Calculate the sum of these two numbers.

Final Answer:

S =  -1

Step-by-step explanation:

z3 = 1 1 = 1(cos 0 + i sin 0 ) zk = ( cos( 32 π k ) + i sin( 32 π k )) 1/3 z1 = 1 z2 = cos( 120° ) + i sin( 120° ) = 0.5 + 0.86602540378444 i z3 = cos( 240° ) + i sin( 240° ) = 0.5  0.86602540378444 i  S = z2 + z3  S=0.5+(0.5)=1



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arithmeticplanimetricsnumbersgoniometry and trigonometryUnits of physical quantitiesGrade of the word problem

 
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