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Trigonometric Identities definitions

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  • Trigonometric Identity
    A universally true equation involving trigonometric functions, used to simplify or verify expressions.
  • Even-Odd Identity
    A rule describing how trigonometric functions behave when their arguments are negated.
  • Pythagorean Identity
    A relationship connecting squares of sine and cosine, or tangent and secant, or cotangent and cosecant.
  • Double Angle Identity
    A formula expressing a trigonometric function of twice an angle in terms of functions of the original angle.
  • Argument
    The angle input for a trigonometric function, often denoted by theta.
  • Fraction Elimination
    A simplification goal where expressions are rewritten to avoid division by trigonometric functions.
  • Difference of Squares
    An algebraic pattern used to factor expressions like 1 minus the square of a trigonometric function.
  • Linear Trigonometric Equation
    An equation involving a single trigonometric function of an angle, set equal to a constant.
  • Unit Circle
    A geometric tool for finding angle solutions where trigonometric functions take specific values.
  • Simplification Strategy
    A systematic approach for rewriting trigonometric expressions to their most reduced form.
  • Verification
    The process of showing two sides of a trigonometric equation are equivalent using identities.
  • Positive Argument
    A requirement that all angles inside trigonometric functions are non-negative for simplification.
  • Trig Function Reduction
    The process of expressing an equation in terms of fewer or only one trigonometric function.
  • Cotangent
    A trigonometric function equal to the ratio of cosine to sine for a given angle.
  • Secant
    A trigonometric function representing the reciprocal of cosine for a given angle.