(a) If $\sin(\alpha + i\beta) = re^{i\theta}$, then show that $2r^2 =…
Previous year question for Engineering Mathematics-I.
Question
(a) If $\sin(\alpha + i\beta) = re^{i\theta}$, then show that $2r^2 = \cosh 2\beta - \cos 2\alpha$ and $\tan \theta = \tanh \beta \cot \alpha$.
(b) If $\cosh x = \sec \theta$, then show that : $\theta = \frac{\pi}{2} - 2\tan^{-1}(e^{-x})$.
- Year: 2018
- Subject: Engineering Mathematics-I
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