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Question

Mathematics Question on Trigonometry

If i=1i=\sqrt{-1}, then 4+5(12+i32)334+3(12+i32)2654+5(\frac{-1}{2}+\frac{i\sqrt3}{2})^{334}+3(\frac{-1}{2}+\frac{i\sqrt3}{2})^{265} is equal to

A

1-i√3

B

-1+i√3

C

i√3

D

-i√3

Answer

i√3

Explanation

Solution

The correct option is (C): i√3