Question:medium

If $a = cos\theta + i \cdot sin\theta$ then $1+a^{2}$ is:

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Always look to use the identity $1 + cos(2\theta) = 2 \cdot cos^2\theta$ to simplify expressions involving $1 + e^{i2\theta}$.
Updated On: May 20, 2026
  • $2 \cdot cos\theta(cos\theta + i \cdot sin\theta)$
  • $2 \cdot cos\theta(cos\theta - i \cdot sin\theta)$
  • $2 \cdot sin\theta(cos\theta + i \cdot sin\theta)$
  • $cos\theta(cos\theta + i \cdot sin\theta)$
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The Correct Option is A

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