In a triangle, sine is defined as the ratio of the length of the opposite side to the length of the hypotenuse. For a triangle with an angle of 60 degrees, we can assume that the hypotenuse length is 1, because sine is defined as a ratio. Then, we can use the properties of triangle to calculate the length of the opposite side with trigonometric function.
According to the nature of triangle, we can find that the opposite side of 60-degree angle is equal to the length of hypotenuse multiplied by root number 3 and divided by 2. This is because in a regular triangle, all angles are 60 degrees, and the ratio of the opposite side to the hypotenuse is 3/2 of the root sign.
Therefore, the calculation formula of sin(60 degrees) is sin(60 degrees) = (root number 3)/2, which is about 0.866. This means that in a 60-degree triangle, the ratio of the length of the opposite side to the length of the hypotenuse is about 0.866.
To sum up, the value of sin(60 degrees) is about 0.866. This value is obtained by calculating the ratio of the opposite side to the hypotenuse of a triangle with an angle of 60 degrees. Sinusoidal functions are widely used in mathematics and science, helping us to solve various problems related to angles and triangles.