## cosx pi/6

### To find the value of cos(pi/6), we need to recall the unit circle and the coordinates of the points on it that correspond to the angles

To find the value of cos(pi/6), we need to recall the unit circle and the coordinates of the points on it that correspond to the angles.

The unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane. On this circle, we can find the coordinates of points that correspond to different angles measured in radians.

For cos(pi/6), we need to find the point on the unit circle that corresponds to an angle of pi/6.

Looking at the unit circle, we can see that pi/6 corresponds to an angle of 30 degrees or 1/6th of a full revolution. For this angle, we go counterclockwise from the positive x-axis.

At this angle, the x-coordinate of the point on the unit circle is equal to the cosine of the angle. From the unit circle, we can see that at 30 degrees, the x-coordinate is √3/2.

Therefore, the value of cos(pi/6) is √3/2.

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