How much is cos 120?

In the realm of trigonometry, the value of cosine at an angle of 120 degrees holds a specific significance. This mathematical concept, rooted in the relationships between angles and sides of triangles, finds its application in various fields such as engineering, physics, and computer graphics.

Specifically, the value of cos 120 degrees is expressed as -½. This negative value stems from the fact that at 120 degrees, the cosine function measures the ratio of the adjacent side to the hypotenuse in a right-angled triangle, where the angle of interest is in the second quadrant.

In the second quadrant, where angles range from 90 to 180 degrees, the adjacent side (to the angle) becomes the negative leg of the triangle, leading to a negative cosine value. Therefore, cos 120 degrees represents a fundamental understanding of trigonometric functions and their behavior across different quadrants.

Beyond its theoretical importance, the value of cos 120 degrees finds practical use in calculating distances, forces, and directions in real-world scenarios. For instance, in physics, it can aid in understanding the components of vectors in two-dimensional space.

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