(a) Prove that $\tan\left[i \log \left(\frac{a-ib}{a+ib}\right)\right…
Previous year question for Engineering Mathematics-I.
Question
(a) Prove that $\tan\left[i \log \left(\frac{a-ib}{a+ib}\right)\right] = \frac{2ab}{a^2-b^2}$.
(b) Separate into real and imaginary parts $\cos^{-1}\left(\frac{3i}{4}\right)$.
(c) Sum the following series:
$$1 + \frac{\cos \alpha}{\cos \alpha} + \frac{\cos 2\alpha}{2! \cos^2 \alpha} + \frac{\cos 3\alpha}{3! \cos^3 \alpha} + \dots$
- Year: 2022
- Subject: Engineering Mathematics-I
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