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Reciprocal Trigonometric Functions on the Unit Circle definitions

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  • Unit Circle
    A circle with radius 1 centered at the origin, used to define trigonometric values based on coordinates.
  • Cosecant
    The reciprocal of the y-coordinate on the unit circle, representing 1 divided by sine of an angle.
  • Secant
    The reciprocal of the x-coordinate on the unit circle, representing 1 divided by cosine of an angle.
  • Cotangent
    A ratio of the x-coordinate to the y-coordinate on the unit circle, equivalent to 1 divided by tangent.
  • Sine
    The y-coordinate of a point on the unit circle corresponding to a given angle.
  • Cosine
    The x-coordinate of a point on the unit circle corresponding to a given angle.
  • Tangent
    A ratio of the y-coordinate to the x-coordinate on the unit circle for a given angle.
  • Reciprocal Trigonometric Functions
    Functions formed by taking the reciprocal of sine, cosine, or tangent, yielding new trigonometric values.
  • Pi Over 6
    An angle whose unit circle coordinates are used to evaluate trigonometric and reciprocal functions.
  • Pi Over 4
    An angle where x and y coordinates are equal, simplifying trigonometric and reciprocal calculations.
  • Zero Degrees
    A reference angle on the unit circle where the x-coordinate is 1 and the y-coordinate is 0.
  • Fraction Reciprocal
    A process of flipping a fraction, used to compute values for reciprocal trigonometric functions.
  • X Value
    The horizontal coordinate on the unit circle, representing cosine for a given angle.
  • Y Value
    The vertical coordinate on the unit circle, representing sine for a given angle.
  • Square Root of 2 Over 2
    A common coordinate value for angles like pi over 4, used in trigonometric calculations.