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  Home : Math & Science : Math Study Guides : Trigonometry : Funcations : Terms and Formulae
Trigonometric Functions
  
 
Terms and Formulae
Terms
Domain  -  The set of all possible inputs of a function.
Function  -  An operation that assigns a correspondence from elements of one set to elements of another set.
Period  -  The repeating interval of a periodic function; the period of a function is a real number.
Periodic Function  -  A function that repeats itself in regular intervals; it follows this equation: f (x + c) = f (x), where c is a constant.
Range  -  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  -  The part of a function that dictates the exact correspondence between the elements of one set and the elements of another set.
Trigonometric Functions  -  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
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) =
.
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