For each angle listed in the table below select the letter o

For each angle listed in the table below, select the letter of the corresponding point on the unit circle, the value of the x-coordinate of the point, and the value of the y-coordinate of the point. Round the coordinates of the point to 3 decimal places. Don\'t enter sin or cos. (You must approximate your answers.)

Solution

780

it can be written as 2*360 +60. And 60 lies in first quadrant. Therefore point is B.

x coordinate = cos 780=.5 and y coordinate= sin780=.866

11pi/6= 330 degree

Which is 360-30 so it lies in fourth quadrant,Therefore the point is E

x coordinate= cos 330 = .866 and y coordinate= sin 330=-.5

-170 = 360-170=190

And 190 lies in third quadrant. Therefore point is D

x coordinate= cos 190=-.985 and y coordinate = sin 190= -.173

13pi/36 = 65

which lies in first quadrant . Therefore point is A

x coordinate= cos 65= .423   and y coordinate= sin 65= .906

-500 = 2*360-500= 220

And 220 lies in third quadrant. Therefore point is F

x coordinate= cos 220=-.766 and y coordinate= sin 220= -.643

2pi/3=120

which lies in second quadrant. Therefore point is C

x coordinate = cos 120=-.5 and y coordinate= .866