TS EAMCET · Maths · Complex Number
\((1-i \sqrt{3})^{2025}=\)
- A \(2^{2025}\)
- B \(2^{2026}\)
- C \(-2^{2025}\)
- D \(-2^{2026}\)
Answer & Solution
Correct Answer
(C) \(-2^{2025}\)
Step-by-step Solution
Detailed explanation
\(1-i\sqrt{3} = 2\left(\cos\left(-\frac{\pi}{3}\right)+i\sin\left(-\frac{\pi}{3}\right)\right)\) \((1-i\sqrt{3})^{2025} = \left[2\left(\cos\left(-\frac{\pi}{3}\right)+i\sin\left(-\frac{\pi}{3}\right)\right)\right]^{2025}\)…
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