(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) Sum to $n$ terms and to infinity the following series:
$$1 + x \cos \alpha + x^2 \cos 2\alpha + x^3 \cos 3\alpha + \dots$$
where $|x| < 1$.
- Year: 2022
- Subject: Engineering Mathematics-I