0 Start: \( -180^{\circ} ; \) End: \( =180^{\circ} \) Step: \( 45^{\circ} \)
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Did you know that the range of angles from \( -180^{\circ} \) to \( 180^{\circ} \) essentially covers a full circle? This range is commonly used in mathematics and physics to describe directions in a 2D plane. Each step of \( 45^{\circ} \) helps break down the circle into eight equal parts, representing significant positions along the way, like the cardinal and intercardinal directions (north, northeast, east, etc.). When working with this range of angles, a common mistake is forgetting that angles repeat every \( 360^{\circ} \), so \( -180^{\circ} \) and \( 180^{\circ} \) essentially point in the same direction! Keep in mind to always adjust angles if you're working with periodic functions; this will save you from confusion in trigonometric calculations.