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Reciprocal Trigonometric Functions on the Unit Circle definitions Flashcards

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 function values based on coordinates.
  • Sine

    A trigonometric function representing the y-coordinate of a point on the unit circle at a given angle.
  • Cosine

    A trigonometric function representing the x-coordinate of a point on the unit circle at a given angle.
  • Tangent

    A trigonometric function found by dividing the y-coordinate by the x-coordinate on the unit circle.
  • Cosecant

    A reciprocal trigonometric function equal to one divided by the y-coordinate on the unit circle.
  • Secant

    A reciprocal trigonometric function equal to one divided by the x-coordinate on the unit circle.
  • Cotangent

    A reciprocal trigonometric function equal to the x-coordinate divided by the y-coordinate on the unit circle.
  • Reciprocal Trigonometric Functions

    Functions obtained by taking the reciprocal of sine, cosine, and tangent, resulting in cosecant, secant, and cotangent.
  • Angle

    A measure, often in degrees or radians, that determines a point's position on the unit circle.
  • Pi Over Six

    A specific angle on the unit circle, equivalent to 30 degrees, often used in trigonometric examples.
  • Pi Over Four

    A specific angle on the unit circle, equivalent to 45 degrees, where x and y coordinates are equal.
  • Reciprocal

    A mathematical operation that inverts a value, such as flipping a fraction or taking one divided by a number.
  • X Value

    The horizontal coordinate of a point on the unit circle, representing the cosine of an angle.
  • Y Value

    The vertical coordinate of a point on the unit circle, representing the sine of an angle.