(a) Show that $\tan \left[i \log \left(\frac{a - ib}{a + ib}\right)\r…
Previous year question for Engineering Mathematics-I.
Question
(a) Show that $\tan \left[i \log \left(\frac{a - ib}{a + ib}\right)\right] = \frac{2ab}{a^2 - b^2}$.
(b) Show that $\sin(\log i) = -1$.
(c) Sum the series to infinity.
$1 + x \cos\theta + \frac{x^2}{2!}\cos 2\theta + \frac{x^3}{3!}\cos 3\theta + \dots$
- Year: 2018
- Subject: Engineering Mathematics-I
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