뒤로Trigonometric Functions on the Unit Circle definitions
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1/15뒤로Skip to main content뒤로Unit Circle
A circle with a radius of 1 centered at the origin, used to define trigonometric function values for all angles. Trigonometric Functions
Mathematical relationships connecting angles to coordinates on the unit circle, including sine, cosine, and tangent. Sine
The y-coordinate of a point on the unit circle corresponding to a given angle, representing the triangle's height. Cosine
The x-coordinate of a point on the unit circle corresponding to a given angle, representing the triangle's base. Tangent
A value found by dividing the y-coordinate by the x-coordinate on the unit circle; undefined when x equals zero. Right Triangle
A triangle formed by dropping a perpendicular from a point on the unit circle to the x-axis, with hypotenuse of length 1. Hypotenuse
The side of the right triangle on the unit circle that is always equal to the radius, which is 1. Ordered Pair
A set of x and y values representing a point on the unit circle, used to determine trigonometric function values. Quadrant
One of four regions in the coordinate plane, determining the signs of trigonometric values based on angle location. Undefined Value
A result occurring when division by zero happens, such as the tangent at 90 or 270 degrees on the unit circle. Reciprocal
A value obtained by inverting a fraction, used to simplify division when finding tangent values with fractional coordinates. Numerator
The top part of a fraction, especially relevant when dividing y by x to find tangent values on the unit circle. Denominator
The bottom part of a fraction, which, if zero, leads to an undefined tangent value on the unit circle. Coordinate System
A grid with x and y axes, providing the framework for locating points and determining trigonometric values. Angle Measure
A value, typically in degrees, that determines a point's location on the unit circle and its corresponding trigonometric values.
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