(a) Express $\cosh z$ into real and imaginary parts. (b) Express $\lo…

Question

(a) Express $\cosh z$ into real and imaginary parts.

(b) Express $\log(\sqrt{3} + i)$ into real and imaginary parts.

(c) Sum the series to infinity : $\sin \alpha \cdot \sin \beta + \sin 2\alpha \cdot \sin^2 \beta + \sin 3\alpha \cdot \sin^3 \beta + \dots$

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