Mathematics

Problem

Let

\theta=\dfrac{17\pi}{6}

. a. (i) Express

\theta

as an angle in radian measure lying between

0

and

2\pi

. b. (ii) Determine the signs of

\sin\theta

and

\cos\theta

without using a calculator. c. (iii) Hence find the exact value of

\sin\theta+\cos\theta