An angle is given as −415∘37′12.5′′.
(i) Express this angle in decimal degrees, correct to four decimal places.
(ii) Hence, obtain its radian measure in exact form.
(iii) Determine a positive angle, in radian measure, that is coterminal with the given angle and lies between 0 and 2π.
(iv) Finally, express the angle found in part (iii) back in degree–minute–second form.