Question Number 152672 by liberty last updated on 31/Aug/21
Answered by Dandelion last updated on 31/Aug/21
$$\mathrm{this}\:\mathrm{is}\:\mathrm{easy}\:\mathrm{Sir} \\ $$$$=\left(\mathrm{e}^{\mathrm{i}\pi/\mathrm{4}} \right)^{\mathrm{30}} =\mathrm{e}^{\mathrm{15i}\pi/\mathrm{2}} =\mathrm{e}^{\mathrm{i}\left(\mathrm{3}×\mathrm{2}\pi+\pi+\pi/\mathrm{2}\right)} =\mathrm{e}^{\mathrm{3i}\pi/\mathrm{2}} =−\mathrm{i} \\ $$