Trigonometric Functions and Double Angle Formulas

Flashcards covering key terminology and formulas related to trigonometric functions and their properties.

Double Angle Formula

A formula that expresses trigonometric functions of double angles in terms of single angles.

Power Reduction Formula

A formula that allows one to express trigonometric functions in terms of powers of sine and cosine.

Conjugate

A binomial formed by changing the sign between two terms in a product, useful in simplifying expressions.

Sine of Two Angles

The formula for sine of the sum or difference of two angles, given by sin(A ± B) = sinA cosB ± cosA sinB.

Cosine of Two Angles

The formula for cosine of the sum of two angles, given by cos(A ± B) = cosA cosB ∓ sinA sinB.

Sine Inverse Function

The inverse of the sine function, which returns the angle whose sine is a given number.

Cosine Inverse Function

The inverse of the cosine function, which returns the angle whose cosine is a given number.

Quadrant of an Angle

The category in which an angle lies, based on its position in the coordinate system.

Sine of Two X

Refers to the sine function evaluated at twice the angle, given by sin(2x) = 2sin(x)cos(x).

Cosine of Two X

Refers to the cosine function evaluated at twice the angle, given by cos(2x) = cos²(x) - sin²(x) or one of its equivalent forms.