Question
Download Solution PDFThe value of \(\rm \frac{\cos\theta+i\sin\theta}{\cos\theta-i\sin\theta}\) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Euler's formula:
A complex number z = cos θ + i sin θ can also be written as eiθ.
Calculation:
From the Euler's formula, we know that:
\(\rm \frac{\cos\theta+i\sin\theta}{\cos\theta-i\sin\theta}=\frac{e^{i\theta}}{e^{-i\theta}}\) = e2iθ = cos 2θ + i sin 2θ.
Last updated on Jun 20, 2025
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