Question
Asked Nov 21, 2019
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Find the indicated power using De Moivre’s Theorem

(a) (1−i)^10
(b) (√3−i)^−5
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Expert Answer

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Step 1

a). Given,

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(1-i) 10

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Step 2

First we write it in polar form, that is 

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Let z 1- rl=i* +(-1) = 2 у tan e=tan 4 х polar form is, z =2 cos +isin 4

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Step 3

Therefor...

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10 a-i-cos isin 4 со (1-i)0. (cos+isin e) 10T 107T 10 isin 4 COS 4 cosn0isinne 107T 107T =0 and sin 4 =-32i -1 cos 4

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Math

Algebra