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The Unit Circle

*A unit circle is a circle with a radius of 1 (r = 1) with the center at the origin (0,0).

The image depicts a unit circle, which is a circle with a radius of one centered at the origin of a coordinate system. The circle is divided into 12 segments by radial lines that indicate angles ranging from 0° to 360° (or 0 to 2π radians). The x and y axes are labeled, with key points marked at (1, 0), (0, 1), (-1, 0), and (0, -1). Each segment is highlighted with coordinates that represent the sine and cosine values corresponding to specific angles in both degrees and radians. The angles are listed in both degrees (e.g., 30°, 60°, etc.) and radians (e.g., π/6, π/3, etc.). The coordinates at each angle are shown in blue and red, with blue representing positive y values and red representing negative y values. The values of sine and cosine for these angles are expressed in radical form, providing precise mathematical representation.

*While one can use degrees to measure angles, radians can also be used to measure angles. Radians are used extensively in trigonometry and calculus to measure angles.

*Note: you should learn the different angle measurements in degrees and radians on the unit circle, as well as the coordinates of the points on that circle.

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