Let be an angle whose degree measure is .

MATHEMATICS · Multi-part · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Let

\theta

be an angle whose degree measure is

-765^{\circ}

. (i) Express

\theta

in radian measure. (ii) Determine the positive angle coterminal with

\theta

that lies between

0

and

2\pi

, writing your answer in radians. (iii) Without using a calculator, find

\sin \theta

and

\cos \theta

. (You may use exact surd values for special angles.)