cos 30°
√3/2
cos 30° can be calculated using the trigonometric function cosine, which represents the ratio of the adjacent side of a right-angled triangle to the hypotenuse.
In a right-angled triangle with an angle of 30 degrees, the adjacent side is the shorter side adjacent to the angle, and the hypotenuse is the longest side opposite to the right angle.
Using the trigonometric identity, cos 30° = adjacent/hypotenuse, we can substitute the values to get:
cos 30° = (sqrt(3)/2) / 1
Simplifying the numerator, we get:
cos 30° = sqrt(3)/2
Therefore, cos 30° is equal to sqrt(3)/2 or approximately 0.866.
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