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In Problems 55-62, find all the complex roots. Leave your answers in polar form with the argument in degrees. The complex fourth roots of $4-4 \sqrt{3} i$

   In Problems 55-62, find all the complex roots. Leave your answers in polar form with the argument in degrees.
 The complex fourth roots of $4-4 \sqrt{3} i$

Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry

Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry

Michael Sullivan 4th Edition

Chapter 8, Problem 57

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To do this, we first find the modulus \(r\) and the argument \(\theta\). The modulus \(r\) is given by: \[ r = \sqrt{x^2 + y^2} = \sqrt{4^2 + (-4\sqrt{3})^2} = \sqrt{16 + 48} = \sqrt{64} = 8 \] Show more…

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In Problems 55-62, find all the complex roots. Leave your answers in polar form with the argument in degrees. The complex fourth roots of $4-4 \sqrt{3} i$

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