How many degrees are in one complete cycle of a sine wave?

A complete cycle of a sine wave is defined as going through all values of the sine function from 0 to 1, back to 0, down to -1, and returning to 0 again. This full oscillation corresponds to a rotation of 360 degrees.

In terms of wave behavior, the sine function begins at zero, rises to its peak (1), decreases back to zero, dips to its lowest point (-1), and then returns to zero again. This complete traversal through all possible values of the sine function occurs over the span of 360 degrees, which mathematically represents a full cycle of circular motion.

Understanding this relationship is crucial in fields involving waveforms, such as sound, light, and alternating current in electrical engineering, where the sine wave plays a fundamental role.