Question:medium

The complex number \( \sqrt{2}\left[ \sin \frac{\pi}{8} + i \cos \frac{\pi}{8} \right]^6 \) represents

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Convert expressions into \( \cos\theta + i\sin\theta \) form before applying powers.
Updated On: Apr 30, 2026
  • \( -i \)
  • \( i \)
  • \( 1 - i \)
  • \( 1 + i \)
  • \( 1 + 2i \)
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The Correct Option is A

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