Question

find the value of the following
http://img268.imageshack.us/img268/9059/7jj7.png

Answer 1

subtract 2pi from the angle until its less than 2pi

\[\frac{17\pi}{6} - \frac{12\pi}{6} = \frac{5\pi}{6}\]
5pi/6 is in 2nd quadrant, sin is positive
reference angle is pi/6
\[\sin(\frac{5\pi}{6}) = \sin(\frac{\pi}{6}) = \frac{1}{2}\]

Answer 2

so 17pi/6, 12pi/6 and 5pi/6

Answer 3

are those the correct values?

Answer 4

yes