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Defining the Unit Circle definitions
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Unit Circle
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Unit Circle
A circle centered at the origin with a radius of 1, used to relate angles to coordinates and trigonometric values.
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Defining the Unit Circle quiz
Defining the Unit Circle
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Defining the Unit Circle
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Trigonometric Functions on the Unit Circle
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Introduction to the Unit Circle
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이 집합의 용어 (15)
하이드의 정의
Unit Circle
A circle centered at the origin with a radius of 1, used to relate angles to coordinates and trigonometric values.
Radius
The fixed distance from the center of a circle to any point on its edge; equals 1 in the unit circle.
Origin
The point (0, 0) on a coordinate plane where the unit circle is centered.
Degree
A unit for measuring angles, with a full circle containing 360 of these.
Radian
A unit for measuring angles based on arc length, with a full circle containing 2π of these.
Coordinate
An ordered pair (x, y) representing a point's position on the unit circle.
Equation of the Unit Circle
The relationship x² + y² = 1, satisfied by all points on the unit circle.
Quadrant
One of four sections of the coordinate plane, each containing part of the unit circle.
Ordered Pair
A set of two numbers (x, y) indicating a point's location, such as those corresponding to angles on the unit circle.
Full Rotation
A complete turn around the circle, equivalent to 360 degrees or 2π radians.
π (Pi)
A mathematical constant representing the ratio of a circle's circumference to its diameter, used in radian measures.
Verification
The process of checking if a point lies on the unit circle by substituting its coordinates into x² + y² = 1.
Angle Measure
The size of an angle, often given in degrees or radians, corresponding to a specific point on the unit circle.
Trigonometry
A branch of mathematics dealing with relationships between angles and sides, heavily utilizing the unit circle.
Rotation
Movement around the center of the unit circle, described by increasing angle measures.