How do you change 10z^{12} into polar coordinates where z=2+4i?

Franco Franco

Franco Franco

Answered question

2022-01-30

How do you change 10z12 into polar coordinates where z=2+4i?

Answer & Explanation

Bottisiooq

Bottisiooq

Beginner2022-01-31Added 9 answers

2+4i
θ=arctan(ba)
θ=arctan(2)
r=22+42=20=25
polar form of 2+4i25(cos(arctan(2))+isin(arctan(2)))
(25(cos(arctan(2))+isin(arctan(2))))12
using the moivre formula
(25)12(cos(arctan(2))+isin(arctan(2)))12
6,4107(cos(12arctan(2))+isin(12arctan(2)))=z12
6,4108(cos(12arctan(2))+isin(12arctan(2)))=10z12

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