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Use DeMoivre's Theorem to find the square roots of 4(cos90+ i sin 90). Show your work.

User Indre
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2 Answers

6 votes

Answer:-1.79229446 + 3.57598665 i

Explanation:

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User Darion
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Answer:

Procedure 6.3. 1:Finding Roots of a Complex Number

Express both z and w in polar form z=reiθ,w=seiϕ. ...

Solve the following two equations: rn=s. ...

The solutions to rn=s are given by r=n√s.

The solutions to einθ=eiϕ are given by: nθ=ϕ+2πℓ,forℓ=0,1,2,⋯,n−1. ...

Using the solutions r,θ to the equations given in (6.3.

Explanation:

User Abhishek Chandran
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