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MA141 Coordinate Patterns

Question Description

Study the three images of the unit circle. The first circle shows the angle measurements labeled in both degrees and radians, the second shows the angles in degrees with the coordinates of the corresponding point on the circle, and the third circle shows the angles in radians with the point coordinates. Based on your exploration of the unit circle in this lesson, think about what the information in the images tells you about the trigonometric ratios for the angles.

For the key points shown in the four quadrants on the unit circle, identify a significant pattern or symmetry in the angles, the coordinates, the trigonometric functions, or a relationship between them. Describe the details of the pattern you found in 1–2 paragraphs and include why you think the pattern might be useful.

Make sure your posts include specific angle measures, coordinates, or trigonometric functions to support your claim.

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