Mathematics

Problem

Answer the following questions about coterminal angles. a. (i) Define the term “coterminal angles.” b. (ii) Explain why adding or subtracting an integer multiple of

360^{\circ}

to a given angle leaves its terminal side unchanged when the angle is drawn in standard position. c. (iii) Illustrate, with a labelled sketch of the coordinate axes and rays, that

45^{\circ}

and

405^{\circ}

are coterminal angles. d. (iv) Determine, with justification, whether

45^{\circ}

and

-315^{\circ}

are coterminal angles.

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