Answer the following questions about coterminal angles.
(i) Define the term “coterminal angles.”
(ii) Explain why adding or subtracting an integer multiple of 360∘ to a given angle leaves its terminal side unchanged when the angle is drawn in standard position.
(iii) Illustrate, with a labelled sketch of the coordinate axes and rays, that 45∘ and 405∘ are coterminal angles.
(iv) Determine, with justification, whether 45∘ and −315∘ are coterminal angles.