Which of the following represents the range of the sine function?

The range of the sine function is indeed from -1 to 1. This means that the values of the sine function, which is defined as the y-coordinate on the unit circle for a given angle, can take any value between -1 (the lowest point on the unit circle) and 1 (the highest point on the unit circle).

To further clarify, the sine function achieves its maximum value of 1 at angles of 90 degrees (or π/2 radians) and its minimum value of -1 at angles of 270 degrees (or 3π/2 radians). As such, for any input value (angle), the output of the sine function must reside within this range of -1 to 1.

In contrast, the other options refer to ranges that are not applicable to the sine function's outputs. For instance, the range from 0 to 1 only accounts for non-negative values, which excludes half of the possible outputs of the sine function. The range 0 to 360 does not pertain to output values, as it refers to the possible angles of input. Lastly, the range from -π to π again describes input angles rather than the output values of the sine function. Therefore, the correct representation