Question

draw the terminal side of an angle in standard position that measures 495°. hint: first plot a point at the origin, then plot a second point anywhere on the terminal side. find a nonnegative angle that is coterminal. find a negative angle that is coterminal.

Explanation:

Step1: Find non - negative coterminal angle

Coterminal angles are found by adding or subtracting \(360^{\circ}\). For a non - negative coterminal angle of \(495^{\circ}\), we subtract \(360^{\circ}\).
\(495^{\circ}-360^{\circ}=135^{\circ}\)

Step2: Find negative coterminal angle

For a negative coterminal angle, we subtract \(360^{\circ}\) from \(135^{\circ}\) (the non - negative coterminal angle we just found).
\(135^{\circ}-360^{\circ}=-225^{\circ}\)

Answer:

Non - negative coterminal angle: \(135^{\circ}\)
Negative coterminal angle: \(-225^{\circ}\)