Terms and Formulae
A trigonometric equation that is solved only by certain angles.
The set of all possible inputs of a
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 one-to-one 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.
The set of all possible outputs of a
A trigonometric equation that is solved by any angle.
||y = arccosecant of x = arccsc(x) = csc-1(x). Another way to write
x = csc(y).
||y = arccosine of x = arccos(x) = cos-1(x). Another way to write
x = cos(y).
||y = arccotangent of x = arccot(x) = cot-1(x). Another way to write
x = cot(y).
||y = arcsecant of x = arcsec(x) = sec-1(x). Another way to write
x = sec(y).
||y = arcsine of x = arcsin(x) = sin-1(x). Another way to write
x = sin(y).
||y = arctangent of x = arctan(x) = tan-1(x). Another way to write
x = tan(y).