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