miebubble miebubble

05-05-2017
Mathematics

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1. Given z_1=5(cos⁡〖20°〗+i sin⁡〖20°〗 ),z_2=4(cos⁡〖10°〗+i sin⁡〖10°〗) find: (Leave answer in polar form.)
z_1^5

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LammettHash LammettHash

08-05-2017

By DeMoivre's theorem, you have

[tex]z_1=5(\cos20^\circ+i\sin20^\circ)[/tex]
[tex]\implies {z_1}^5=5^5(\cos100^\circ+i\sin100^\circ)[/tex]

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