HURRY Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth. 270 degrees a. (1, 0) c. (0, -1) b. (0, 1) d. (-1, 0)

Option A. (-1, 0)

Step-by-step explanation:

In the figure attached,

Circle O is a unit circle (having radius r = 1 unit)

If a point A with central angles = θ, is lying on the circle then the coordinates of the point A will be,

x = r.cosθ

x = 1.cosθ = cosθ

and y = r.sinθ

y = 1.sinθ = sinθ

Therefore, coordinates representing the point A will be (cosθ, sinθ).

As per question the given point A is lying at P (a point having central angle θ = 180°)

Coordinates of point P will be

(x', y') → (cos180°, sin180°)

        → (-1, 0)

Therefore, Option A will be the answer.

Comment
You have to understand what the question is really asking you to do. The tan(29) = 0.55 roughly. You need 2 numbers that form a fraction = 0.55. The question is a little bit unclear and you have to define where the angle starts.

Step One
Determine how the angle is determined.
If you are starting at (1,0) which is y = 0 as a line until you hit the circumference of the circle and move up 29 degrees (move counter clockwise) then that's how the 29 degrees is constructed. See upload. There is a green marker at the center which says 29 degrees.

Step Two
Find the tangent value of 29 degrees.
Tan(29) = 0.5543 Just press tan( followed by 29 followed by = 

Step Three.
Determine which answer will give you 0.5543
Tan(29) = opposite over adjacent.
Tan(29) = o/a
Since the tan(29) < 1 then the y value of your choices must be less than the x value
opposite = y
adjacent = x
o < a
y < x

So you want (0.87,  0.48) 

Does it work?
Tan(29) = 0.5543
Tan (29) = 0.48/0.87 
Tan(29) = 0.5517 which is close enough. 

Answer You want what you have labeled b <<<< answer
(0.87,0.48) <<<< Answer