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Q37 / 68 · NEST (NISER) 2023 (Session 2) · Mathematics

Q3 / 16 · NEST (NISER) 2023 (Session 2) · Mathematics · Complex Number · Polar and Euler Form

If $\frac{1}{(1+i)^{2023}}=t e^{i \theta}$, where $t \in \mathbb{R}$ and $0 \leq \theta \lt 2 \pi$, then the value of $\theta$ is

  • Correct answer
    A
    $\frac{\pi}{4}$
  • B
    $\frac{3 \pi}{4}$
  • C
    $\frac{5 \pi}{4}$
  • D
    $\frac{7 \pi}{4}$

Hence, the correct answer is option: 'A'.

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