Without using a calculator, evaluate [math]\sin \left(\frac{17\pi}{3}\right)[/math].
[list=1] [*]Determine the quadrant that contains the terminal side of the angle. [*]Sketch the location of the coterminal angle on a unit circle. [*]Using your sketch from step 2, determine the reference angle that applies to this situation. [*]Evaluate the sine of the reference angle, using your knowledge of special angles. [*]Use the quadrant information from step 2 to modify the sign of your result as necessary. [/list]