Question
Download Solution PDF(cos π/16 + i sin π/16 )8 का मूल्यांकन कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
\({e^{i\; ⋅ \;\theta }} = \cos \theta + i\sin \theta \)
गणना:
चूँकि हम जानते हैं कि, \({e^{i\; ⋅ \;\theta }} = \cos \theta + i\sin \theta \)
⇒ (cos π/16 + i sin π/16 )8 = [ei ⋅ π/16]8 = ei ⋅ π/2
⇒ ei ⋅ π/2 = cos π/2 + i sin π/2 = i
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