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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy
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Application +4 | -1
The continued product of the four values of [cos⁡(π3)+isin⁡(π3)]3/4\left[\cos \left(\frac{\pi}{3}\right)+i \sin \left(\frac{\pi}{3}\right)\right]^{3 / 4} is
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Correct option: B
1
Option B (1) is correct because the continued product of the four values simplifies to cis(4π\pi), which equals 1.

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