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Domain
The set of all possible inputs of a function.
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Function
An operation that assigns a correspondence from elements of one set to elements of another set.
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Period
The repeating interval of a periodic function; the period of a function is a real number.
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Periodic Function
A function that repeats itself in regular intervals; it follows this equation: f (x + c) = f (x), where c is a constant.
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Range
The set of all possible outputs of a function.
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Reference Angle
The positive acute angle formed between the terminal side of an angle and the x-axis.
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Rule
The part of a function that dictates the exact correspondence between the elements of one set and the elements of another set.
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Trigonometric Functions
There are six trigonometric functions: Sine, cosine, tangent, cosecant, secant, and cotangent.
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Unit Circle
The circle whose center is at the origin and whose radius is one.
Terms
Formulae
Cosecant | Given a point P(x, y) on the terminal side of an angle θ in standard position, distance d from the origin, cosecant(θ) = csc(θ) = . |
Cosine | Given a point P(x, y) on the terminal side of an angle θ in standard position, distance d from the origin, cosine(θ) = cos(θ) = . |
Cotangent | Given a point P(x, y) on the terminal side of an angle θ in standard position, cotangent(θ) = cot(θ) = . |
Secant | Given a point P(x, y) on the terminal side of an angle θ in standard position, distance d from the origin, secant(θ) = sec(θ) = . |
Sine | Given a point P(x, y) on the terminal side of an angle θ in standard position, distance d from the origin, sine(θ) = sin(θ) = . |
Tangent | Given a point P(x, y) on the terminal side of an angle θ in standard position, tangent(θ) = tan(θ) = . |