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[-π/2, π/2]

inverse sin

[-π/2, π/2]

inverse tan

(0, π]

inverse cot

[0, π]

inverse cos

inverse csc

[-π/2, 0) (0, π/2]

inverse sec

[0, π/2) (π/2, π]

ARCSIN

Domain (x): [-1,1]

ARCCOS

Domain (x): [-1,1]

ARCTAN

Domain (x): All Real Numbers

ARCSEC

Domain (x): All Real Numbers, |x| ≥ 1

ARCCSC

Domain (x): All Real Numbers, |x| ≥ 1

function

Also known as Relation, or a set of ordered pairs.

one-to-one function

A function where each element of the range is paired with exactly one element of the domain.

Many-to-One Function

A function where each element of the range is paired with multiple elements of the domain. There are multiple X values for every Y value.

When can you tell that a function is a one-to-one function?

When the inverse, when put into the function is equal to the original value. [f(I)=x or f(f-1(x)=x

How do you find the inverse function?

Just treat the function as y, then isolate the x variable to find the function.