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Double Angle Identities definitions

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  • Double Angle Identity

    A formula relating a trigonometric function of twice an angle to functions of the original angle, useful for simplification.
  • Sum Formula

    An expression combining trigonometric functions of two angles, foundational for deriving double angle identities.
  • Sine Double Angle Identity

    A relationship showing the sine of twice an angle equals twice the product of sine and cosine of the original angle.
  • Cosine Double Angle Identity

    A formula expressing the cosine of twice an angle as the difference between the squares of cosine and sine of the original angle.
  • Tangent Double Angle Identity

    A rule stating the tangent of twice an angle equals twice the tangent divided by one minus the tangent squared.
  • Alternate Form

    A rearranged version of a trigonometric identity, often derived using other identities for easier application.
  • Pythagorean Identity

    A fundamental relationship among sine and cosine, used to rewrite and derive alternate forms of trigonometric identities.
  • Argument

    The angle input for a trigonometric function, often manipulated in identities to simplify expressions.
  • Unit Circle

    A circle with radius one, providing exact values for trigonometric functions at key angles.
  • Simplification

    The process of reducing a trigonometric expression to a more manageable or recognizable form using identities.
  • Expression

    A combination of trigonometric functions and numbers, often targeted for simplification using identities.
  • Verification

    The act of confirming the validity of a trigonometric identity by manipulating expressions.
  • Cosine Squared

    The square of the cosine of an angle, frequently appearing in double angle and Pythagorean identities.
  • Sine Squared

    The square of the sine of an angle, commonly used in double angle and Pythagorean identities.
  • Theta

    A variable representing an angle, central to trigonometric identities and expressions.