Cosine Function: Explaining Cos30 = 0.866 In Trigonometry

cos30

√3/2

cos30 is equal to 0.866.

To explain further, cos stands for cosine, which is a trigonometric function that relates the adjacent side of a right triangle to its hypotenuse. In a right triangle where one angle is 30 degrees, the adjacent side is the side that is adjacent to the 30-degree angle, and the hypotenuse is the longest side of the triangle.

Using the cosine function, we can determine that cos30 is equal to the ratio of the adjacent side to the hypotenuse. In this case, the adjacent side is 1 (since it is the shortest side of a 30-60-90 triangle), and the hypotenuse is 2 (since it is twice the length of the adjacent side). Therefore, cos30 is equal to 1/2, which simplifies to 0.866 when rounded to three decimal places.

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