In one complete cycle of a sine wave, how many times does it pass through 0 degrees?

In one complete cycle of a sine wave, the wave oscillates from 0 degrees, reaching both its maximum and minimum values before returning back through 0 degrees to complete the cycle.

To visualize this, consider the typical sine wave that starts at 0 degrees (the origin), rises to its peak (90 degrees), descends back through 0 degrees (180 degrees) to reach the trough (270 degrees), and finally returns back to 0 degrees at 360 degrees.

This means that between 0 degrees and 360 degrees, the sine wave crosses the zero line twice: once when going from positive to negative (180 degrees) and once when going from negative back to positive (360 degrees). Thus, during one complete cycle, the sine wave crosses through 0 degrees a total of two times. This is consistent with the fundamental properties of sine waves in trigonometry.