Question
Download Solution PDFEvaluate (cos π/9 + i sin π/9 )18 = ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
\({e^{i\; ⋅ \;\theta }} = \cos \theta + i\sin \theta \)
Calculation:
As we know that,
\({e^{i\; ⋅ \;\theta }} = \cos \theta + i\sin \theta \)
⇒ (cos π/9 + i sin π/9 )18
= [ei ⋅ π/9]18 = ei ⋅ 2π
⇒ ei ⋅ 2π
= cos 2π + i sin 2π = 1
Last updated on Jun 20, 2025
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