Let's find the circle to find the exact value of
Sin 17pi/3:
1) Find the coterminal angle in the circle:
[tex]\begin{gathered} \frac{17\pi}{3}= \\ \frac{17\pi}{3}-\frac{6\pi}{3}= \\ \frac{11\pi}{3}-\frac{6\pi}{3}= \\ \frac{5\pi}{3} \end{gathered}[/tex]
2-Using the circle, the point is:
[tex](\frac{1}{2},\text{ }\frac{\sqrt[\square]{3}}{2})[/tex]
3) The answer is the y-coordinate, so:
[tex]\frac{\sqrt[]{3}}{2}[/tex]
a)The mistake was: The coterminal angle was found subtracting 4pi, not 2pi.
b) Because the angle was right in the end, the final answer was correct.
