A

Evaluate \(\left (1 + \mathrm{i}\right )^{7}\).

Evaluate \(\left (\cos \frac{\pi }{2} + \mathrm{i}\sin \frac{\pi }{2}\right )^{13}\) and find the algebraic form of the result.

The angles in the triangle \(ABC\) are \(\alpha = 100^{\circ }\) and \(\beta = 50^{\circ }\). The radius of the circumscribed circle is \(11\, \mathrm{cm}\). Find the side \(c\).

The side \(b\) in the triangle \(ABC\) is \(17\, \mathrm{cm}\) and the angle \(\beta \) is \(58^{\circ }\). Find the radius of the circle circumscribed to this triangle and round your answer to the nearest centimeters.