Exact sine and cosine of 7/6 π radians?

I was able to get far enough to know that 7/6 π radians = 210° but I don’t know how to figure out cos⁡210° and sin⁡210°. The answer in the textbook for cos⁡210° and sin⁡210° are -√3/2 and –1/2 respectively.

I would prefer a walkthrough as opposed to just telling me the answers because I already know them.
Thank you ☺

Question

Exact sine and cosine of 7/6 π radians?

I was able to get far enough to know that 7/6 π radians = 210° but I don’t know how to figure out cos⁡210° and sin⁡210°. The answer in the textbook for cos⁡210° and sin⁡210° are -√3/2 and –1/2 respectively.

I would prefer a walkthrough as opposed to just telling me the answers because I already know them.
Thank you ☺

latinc · Answer

draw the Unit circle and mark a point at 210

cecil_the_weasel · Answer

Is there a website I can use to model this? I don't own a protractor.

latinc · Answer

|dw:1461607874412:dw|