Mathematics

Problem

An angle measures

1275^{\circ}

. a. (i) Reduce

1275^{\circ}

to its smallest positive coterminal angle less than

360^{\circ}

. b. (ii) Express the angle obtained in part (i) in degree–minute–second (DMS) form. c. (iii) Find one negative coterminal angle of

1275^{\circ}

that lies between

-360^{\circ}

and

0^{\circ}