Mathematics

The key is recognizing that angles repeat every $360°$, so you can always subtract full rotations to land in a familiar range. Once you reduce $765°$ to an equivalent angle between $0°$ and $360°$, you'll get something whose sine you already know from the unit circle or special angles. Think of it as "unwrapping" the angle to find its true position.

The key is recognizing that angles repeat every $360°$, so you can always subtract full rotations to land in a familiar range. Once you reduce $765°$ to an equivalent angle between $0°$ and $360°$, you'll get something whose sine you already know from the unit circle or special angles. Think of it as "unwrapping" the angle to find its true position.