Question

Solve the question using the picture attached. The question and instructions are all attached in the picture. Thank you

Answer 1

Let's find the circle to find the exact value of

Sin 17pi/3:

1) Find the coterminal angle in the circle:

`\begin{gathered} (17\pi)/(3)= \\ (17\pi)/(3)-(6\pi)/(3)= \\ (11\pi)/(3)-(6\pi)/(3)= \\ (5\pi)/(3) \end{gathered}`

2-Using the circle, the point is:

`((1)/(2),\text{ }\frac{\sqrt[\square]{3}}{2})`

3) The answer is the y-coordinate, so:

`\frac{\sqrt[]{3}}{2}`

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.