Find an angle between $0^{\circ}$ and $360^{\circ}$ that is coterminal with $810^{\circ}$
Final Answer: The angle between \(0^{\circ}\) and \(360^{\circ}\) that is coterminal with \(810^{\circ}\) is \(\boxed{90^{\circ}}\).
Step 1 :To find an angle that is coterminal with \(810^{\circ}\), we need to subtract or add multiples of \(360^{\circ}\) until we get an angle between \(0^{\circ}\) and \(360^{\circ}\).
Step 2 :Subtract \(360^{\circ}\) from \(810^{\circ}\) twice to get \(90^{\circ}\).
Step 3 :Final Answer: The angle between \(0^{\circ}\) and \(360^{\circ}\) that is coterminal with \(810^{\circ}\) is \(\boxed{90^{\circ}}\).