To find the value of 60, we need to use the coordinates of the point of intersection of the terminal side and the unit circle.
The x-coordinate of the point of intersection is cos(60) = 1/2.
The y-coordinate of the point of intersection is sin(60) = sqrt(3)/2.
Since the point is (1/2, sqrt(3)/2), we can see that the x-coordinate is 1/2 and the y-coordinate is the square root of 3 over 2.
Therefore, 60 is the angle whose terminal side intersects the unit circle at (1/2, sqrt(3)/2), which is equal to 60 degrees.
The angle 60 is shown below in standard position, together with a unit circle.
A circle with a radius of 1 is shown with its center located at the origin on a coordinate grid. The radius forms a terminal side that makes a 60-degree-angle with the positive x-axis. The terminal side intersects the circle at (one half, the square root of 3 over 2).
Use the coordinates of the point of intersection of the terminal side and the circle to compute 60.
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