(i) Reduce to an equivalent angle that lies between and , correct to two decimal…

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

(i) Reduce

512^{\circ}\,47'\,30''

to an equivalent angle that lies between

0^{\circ}

and

360^{\circ}

, correct to two decimal places. (ii) Express the angle obtained in part (i) in degrees–minutes–seconds (DMS) form.