Value of Cos 60
Last Updated :
05 Feb, 2024
The value of cos(60°) is a fundamental concept in trigonometry, particularly in the study of right-angled triangles and the unit circle. In trigonometry, the cosine of an angle in a right-angled triangle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.
Answer: Value of Cos 60 Degrees is 1/2.
For specific angles, such as 30°, 45°, and 60°, the cosine values are well-known and often memorized due to their frequent use. The cosine of 60° can be easily remembered or derived using an equilateral triangle, which is a triangle where all three sides are of equal length.
If you bisect an equilateral triangle, you create two 30-60-90 right triangles. In such a triangle, the side opposite the 60° angle is 33 times shorter than the hypotenuse.
Therefore, the cosine of 60°, which is the ratio of the adjacent side (half the length of the hypotenuse) to the hypotenuse, is:
cos(60°) = 1/2
Hence, the cosine of 60 is 1/2.
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