(a) Separate $\tanh(x + iy)$ into real and imaginary parts. (b) If $\…
Previous year question for Engineering Mathematics-I.
Question
(a) Separate $\tanh(x + iy)$ into real and imaginary parts.
(b) If $\tan(\alpha + i\beta) = x + iy$, then prove that
(i) $x^2 + y^2 + 2x \cot 2\alpha = 1$,
(ii) $x^2 + y^2 - 2y \coth 2\beta = -1$
- Year: 2022
- Subject: Engineering Mathematics-I
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