Question
Download Solution PDF\(\rm \frac{\cos\theta+i\sin\theta}{\cos\theta-i\sin\theta}\) का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
यूलर का सूत्र:
एक सम्मिश्र संख्या z = cos θ + i sin θ को eiθ के रूप में भी लिखा जा सकता है।
गणना:
यूलर के सूत्र से हम जानते हैं कि:
\(\rm \frac{\cos\theta+i\sin\theta}{\cos\theta-i\sin\theta}=\frac{e^{i\theta}}{e^{-i\theta}}\) = e2iθ = cos 2θ + i sin 2θ
Last updated on Jun 20, 2025
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