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1. Give a formula for the values on m such that z^m=z
z=cos(7pi/6)+i*sin(7pi/6)
2. If i use de movires i get
3. m*7pi/6=7pi/6 + k*2pi
But then i get the value that k=12/7, Which is the wrong formula.
The correct answer is 1+12k for k=0,1,2...
z=cos(7pi/6)+i*sin(7pi/6)
2. If i use de movires i get
3. m*7pi/6=7pi/6 + k*2pi
But then i get the value that k=12/7, Which is the wrong formula.
The correct answer is 1+12k for k=0,1,2...