sin 60°
√3/ 2
sin 60° is equal to 0.86602540378.
To understand how this value is obtained, it is important to know that sine is a trigonometric function which calculates the ratio of the length of the opposite side of an angle to the length of the hypotenuse in a right-angled triangle.
In a triangle in which one of the angles is 60°, we can use the following formula to calculate the value of sin 60°:
sin60° = opposite side / hypotenuse
We can then use the Pythagorean theorem to find the length of the missing side of the triangle.
Let’s assume that the hypotenuse of the triangle has a length of 1 unit. To find the length of the opposite side, we can use the formula:
opposite side = hypotenuse x sin60°
Plugging in the value for sin60°, we get:
opposite side = 1 x 0.86602540378
Simplifying this, we get:
opposite side = 0.86602540378
Therefore, sin 60° is equal to 0.86602540378.
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