The angle between $0^{\circ}$ and $360^{\circ}$ that is coterminal with the $-66^{\circ}$ angle is degrees.
Question Help: D Worked Example 1
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Answer
First, we add \(360^\circ\) to \(-66^\circ\) to get \(294^\circ\). This is between \(0^\circ\) and \(360^\circ\), so the angle between \(0^\circ\) and \(360^\circ\) that is coterminal with \(-66^\circ\) is \(\boxed{294^\circ}\).
Step 1 ：An angle is coterminal with another if they differ by a multiple of \(360^\circ\). So, to find the angle between \(0^\circ\) and \(360^\circ\) that is coterminal with \(-66^\circ\), we add multiples of \(360^\circ\) to \(-66^\circ\) until we get an angle between \(0^\circ\) and \(360^\circ\).
Step 2 ：First, we add \(360^\circ\) to \(-66^\circ\) to get \(294^\circ\). This is between \(0^\circ\) and \(360^\circ\), so the angle between \(0^\circ\) and \(360^\circ\) that is coterminal with \(-66^\circ\) is \(\boxed{294^\circ}\).
