An angle measures

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

Problem

An angle measures

825^{\circ}

. (i) Express

825^{\circ}

in radian measure, writing your answer with

\pi

in simplest form. (ii) Find the positive angle, in radians, that is coterminal with the angle obtained in part (i) and lies between

0

and

2\pi

. (iii) Using the result of part (ii), determine the exact values of

\sin 825^{\circ}

and

\cos 825^{\circ}