# Use de moivres theorem to write the complex number in trigonometric form. [sqrt(2)(cos(10)+isin(10)]^6

2 answers

###### Question:

use de moivres theorem to write the complex number in trigonometric form.

[sqrt(2)(cos(10)+isin(10)]^6

[sqrt(2)(cos(10)+isin(10)]^6

## Answers

By DeMoivre's theorem,[tex](\sqrt2(\cos10^\circ+i\sin10^\circ))^6=(\sqrt2)^6(\cos60^\circ+i\sin60^\circ)[/tex][tex]=8(\cos60^\circ+i\sin60^\circ)[/tex]

Answer: 4+4i sqrt(3)Step-by-step explanation: ap3x

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