(i) Define each of the following terms:
(a) degree–minute–second (DMS) form of an angle
(b) radian measure of an angle
(ii) Explain, without performing any calculation, why an angle whose DMS measure is 360∘ is numerically unequal to its radian measure although both represent one complete revolution.
(iii) An angle is stated as 12∘30′0′′. Describe in words the two conceptual stages that must be carried out to write this angle in radian measure. Do not do the numerical work; focus only on the reasoning sequence.