Questions: Find the angle between 0° and 360° that is coterminal to the given angle. -35°

Solution Steps

To find a coterminal angle between \(0^{\circ}\) and \(360^{\circ}\), we can add or subtract \(360^{\circ}\) to the given angle until it falls within the desired range. For negative angles, we typically add \(360^{\circ}\) repeatedly until the angle is positive and within the specified range.

The given angle is \(-35^\circ\).

To find a coterminal angle between \(0^\circ\) and \(360^\circ\), we add \(360^\circ\) to the given angle: \[ -35^\circ + 360^\circ = 325^\circ \]

The resulting angle \(325^\circ\) is already within the desired range of \(0^\circ\) to \(360^\circ\).

Final Answer