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The value of sin 0° is 0 because the sine function measures the ratio of the opposite side to the hypotenuse in a right triangle. When the angle is 0 degrees, the opposite side has a length of 0 while the hypotenuse is a non-zero value. Therefore, the ratio becomes 0 divided by that non-zero value, which yields 0. This concept is also reflected in the unit circle representation of sine, where at 0°, the point on the circle corresponds to the coordinates (1, 0). The y-coordinate, which represents the value of sine, is 0 at this point.

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