The sine function, denoted as sin x, is a fundamental trigonometric function that describes the relationship between an angle and the ratios of the sides of a right triangle. The range of the sine function is strictly limited to values between -1 and 1, inclusive. This means that for any angle x, the output of sin x can only be a value within this range: -1 ≤ sin x ≤ 1.
Given this information, any value outside this range, such as 2 or -2, cannot be achieved by sin x. Therefore, if presented with options that include numbers outside of this interval, those numbers would be ruled out as possible values for sin x.
In conclusion, the answer to the question is that any number greater than 1 or less than -1 is not a possible value of sin x.