sin 60°
√3/2
The sine of 60 degrees (sin 60°) is equal to sqrt(3)/2 or approximately 0.866.
To understand how to calculate this answer, we need to review the definition of sine. The sine function is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse of a right triangle. In a 30-60-90 degree triangle (a special right triangle in which one angle is 90 degrees and the other two angles are 30 and 60 degrees), the side opposite the 60 degree angle is always sqrt(3) times smaller than the hypotenuse.
Since sin 60° = opposite / hypotenuse, we can substitute the values we know:
sin 60° = sqrt(3)/2
Therefore, the sine of 60 degrees is SQRT(3)/2 or approximately 0.866.
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