Welect your answer \[ \begin{array}{l}45^{\circ} \text { and } 225^{\circ} \\ -50^{\circ} \text { and } 150^{\circ} \\ 60^{\circ} \text { and } 300^{\circ} \\ -70^{\circ} \text { and } 290^{\circ} \\ 90^{\circ} \text { and }-90^{\circ}\end{array} \]
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Beyond the Answer
The angles mentioned in your selection span various quadrants of the unit circle. For example, \(45^{\circ}\) and \(225^{\circ}\) represent angles in the first and third quadrants, respectively, where they are a reflection of each other. This symmetry exists due to the properties of the unit circle, which is useful for visualizing trigonometric functions. In practical application, these angles can be useful in fields ranging from engineering to computer graphics. For instance, knowing these angles aids in understanding vectors' direction in a 2D plane, enhancing performance in game development and simulations, where rotations and transformations are pivotal to creating realistic movements and objects!