oops, didnt see you got 3.
here is 1:
think of a circle with a center (0,0) with a radius of 1 (so any point on the circle is 1 unit away from the center)
the angle is in quadrant 3, so draw a line going out into q 3 from the center, and connect that line to the x axis, making a triangle.
mark the radius as 1, because we made it equal to 1. the height is y, the length is x (but remember, x and y are negative numbers because they are in quadrant 3).
you have cos (theta) = -.53170. cosine equals A/H (adjacent over hypotenuse), so you have x/1 = -.53170, because the H= 1 and A = x.
solve for x, and you get x=-.57310. now you have 2 sides of a right triangle. use the pythagorean theorem to solve for y (remember though, it is negative). you should get y = -.8469 (may have messed up the decimals but its close to that).
since sin = O/H, opposite/hypotenuse, just fill in the numbers you have. you will get -.8469/1, which equals -.8469
if i messed up somebody let him know so he doesnt take my info and fail haha.
I Ski Attitash And Cranmore
"When people say you have a one track mind, tell them they're only half right. Skiing leaves 2 tracks!" - Seth Morrison