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Double Angle Identities definitions
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Double Angle Identity
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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.
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Terms in this set (15)
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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.