Terms and Formulae
Terms
Conditional Equation

A trigonometric equation that is solved only by certain angles.
Domain

The set of all possible inputs of a
function.
Inverse Trigonometric Relation

The relations arcsine, arccosine, arctangent, arccosecant,
arcsecant, and arccotangent are the inverse of the trigonometric
functions sine, cosine, tangent, cosecant, secant, and tangent, respectively.
For example, another way to write x = sin(y) is y = arcsin(x) or y = sin^{1}(x). For the inverse relations, the roles of x and y are reversed.
Inverse Trigonometric Function

An inverse relation in which the range is restricted such that there
exists a onetoone correspondence between inputs and outputs (numbers and
angles, respectively). Inverse trigonometric functions are named exactly as
inverse relations, except that the functions are capitalized. Example: arcsine
is a relation; Arcsine is a function.
Range

The set of all possible outputs of a
function.
Trigonometric Identity

A trigonometric equation that is solved by any angle.
arccosecant
 y = arccosecant of x = arccsc(x) = csc^{1}(x). Another way to write
x = csc(y).

arccosine
 y = arccosine of x = arccos(x) = cos^{1}(x). Another way to write
x = cos(y).

arccotangent
 y = arccotangent of x = arccot(x) = cot^{1}(x). Another way to write
x = cot(y).

arcsecant
 y = arcsecant of x = arcsec(x) = sec^{1}(x). Another way to write
x = sec(y).

arcsine
 y = arcsine of x = arcsin(x) = sin^{1}(x). Another way to write
x = sin(y).

arctangent
 y = arctangent of x = arctan(x) = tan^{1}(x). Another way to write
x = tan(y).
