Trigonometric Functions on Right Triangles definitions Flashcards
Trigonometric Functions on Right Triangles definitions
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Trigonometric FunctionA mathematical ratio relating an angle of a right triangle to two of its sides, commonly used to solve for unknowns.SineA ratio comparing the length of the side opposite an angle to the hypotenuse in a right triangle.CosineA ratio comparing the length of the side adjacent to an angle to the hypotenuse in a right triangle.TangentA ratio comparing the length of the side opposite an angle to the side adjacent to that angle in a right triangle.SOHCAHTOAA mnemonic device summarizing how sine, cosine, and tangent relate to the sides of a right triangle.Reciprocal IdentityA relationship where one trigonometric function is the flipped version of another, such as secant and cosine.CosecantA ratio representing the hypotenuse divided by the side opposite an angle in a right triangle.SecantA ratio representing the hypotenuse divided by the side adjacent to an angle in a right triangle.CotangentA ratio comparing the length of the side adjacent to an angle to the side opposite that angle in a right triangle.Inverse Trigonometric FunctionAn operation that undoes a trigonometric function, allowing calculation of an angle from a given ratio.Arc FunctionAn alternative name for an inverse trigonometric function, often denoted with the prefix 'arc'.HypotenuseThe longest side of a right triangle, always opposite the right angle.Adjacent SideThe side of a right triangle that forms the angle of interest, excluding the hypotenuse.Opposite SideThe side of a right triangle that does not form the angle of interest and is across from it.Degree ModeA calculator setting used when angles are measured in degrees, essential for correct trigonometric calculations.Radian ModeA calculator setting used when angles are measured in radians, necessary for certain trigonometric problems.