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Defining the Unit Circle definitions

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  • Unit Circle
    A circle centered at the origin with radius 1, used to relate angles to coordinates and solve trigonometric problems.
  • Radius
    The fixed distance from the center to any point on the circle, always equal to 1 in this context.
  • Origin
    The central point (0,0) on the coordinate plane where the unit circle is positioned.
  • Degrees
    A measurement system for angles, ranging from 0 to 360, marking positions around the circle.
  • Radians
    A unit for measuring angles, where a full circle equals 2π, commonly used in trigonometry.
  • Coordinate
    An ordered pair (x, y) representing a specific location on the unit circle corresponding to an angle.
  • Equation
    A mathematical statement, x² + y² = 1, describing all points that lie on the unit circle.
  • Rotation
    A complete turn around the circle, equivalent to 360 degrees or 2π radians.
  • Quadrant
    One of four sections of the coordinate plane, each containing key angle measures on the unit circle.
  • Ordered Pair
    A set of two values (x, y) indicating a point's position relative to the center of the unit circle.
  • True Statement
    A result from plugging coordinates into the unit circle equation, confirming the point lies on the circle.
  • Fraction
    A numerical expression, such as 1/2 or √3/2, used to describe coordinates on the unit circle.
  • Square Root
    A value, like √3, appearing in coordinates, which when squared returns the original number.
  • Angle Measure
    A numerical value in degrees or radians indicating the position of a point on the unit circle.
  • Center
    The point from which all distances on the unit circle are measured, located at (0,0).