(a) Express $\tan^{-1} Z$ into real and imaginary parts. (b) If $e^{i\theta} = \sinh(x + i y)$, show that $\sinh^4 x = \cos^3 \theta = \cos^4 y$.

(a) Express $\tan^{-1} Z$ into real and imaginary parts. (b) If $e^{i…

Previous year question with solution for Engineering Mathematics-I.