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Question

referring to  De Moivre's theorems ,


evaluate

class="ql-formula" data-value="[ sqrt[5]{3} ( frac{ sqrt{3}}{2}+ frac{i}{2} ) ]^{10}">[53(23+2i)]10


can you please show me step by step ? there was no calculator giving proper answer neither any website solving such an equation

Top Answer

The answer to this question... View the full answer

20200103-141651_p0.jpg

W
10
N
10
=
35
Cos II + i sin It"
10
N
2
6
6
( cos 10IT + i gin 101
6
Z
9 603 5 TT
3
+
2 sin 5 IT
3
= 9 Cos ( ZIT - 15 + i sin ( 271 -
= 9 ( cos # + i Sin
w /#
= 9
+
i .
NIG
9
2
+
2

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