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Trigonometric Functions on Right Triangles definitions

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  • Right Triangle

    A geometric figure with one 90-degree angle, used as the basis for defining trigonometric ratios.
  • Hypotenuse

    The longest side in a right triangle, always opposite the right angle and used in trigonometric ratios.
  • Opposite Side

    The side across from a given angle in a right triangle, crucial for calculating certain trigonometric functions.
  • Adjacent Side

    The side next to a given angle in a right triangle, but not the hypotenuse, used in trigonometric ratios.
  • Sine

    A trigonometric function representing the ratio of the opposite side to the hypotenuse for a given angle.
  • Cosine

    A trigonometric function representing the ratio of the adjacent side to the hypotenuse for a given angle.
  • Tangent

    A trigonometric function representing the ratio of the opposite side to the adjacent side for a given angle.
  • SOHCAHTOA

    A mnemonic device summarizing how sine, cosine, and tangent relate to the sides of a right triangle.
  • Cosecant

    A reciprocal trigonometric function, defined as the ratio of the hypotenuse to the opposite side.
  • Secant

    A reciprocal trigonometric function, defined as the ratio of the hypotenuse to the adjacent side.
  • Cotangent

    A reciprocal trigonometric function, defined as the ratio of the adjacent side to the opposite side.
  • Reciprocal Identity

    A relationship where a trigonometric function is expressed as the flipped version of another function's ratio.
  • Inverse Trigonometric Function

    An operation that retrieves an angle from a known trigonometric value, undoing the original function.
  • Arc Function

    An alternate name for inverse trigonometric functions, commonly used to find angles from ratios.
  • Degree Mode

    A calculator setting used when angles are measured in degrees, essential for correct trigonometric calculations.
  • Radian Mode

    A calculator setting used when angles are measured in radians, necessary for certain trigonometric evaluations.