Inverse Trigonometric Functions and Domain Restrictions

An inverse trig function is always taken of a(n) ________.

ratio

A trig function is always taken of a(n) _______.

angle

Domain restriction of sin^-1

-1≤x≤1

Domain restriction of cos^-1

-1≤x≤1

Domain restriction of tan^-1

-∞

Domain restriction of csc^-1

-1≥x≤1

Domain restriction of sec^-1

-1≥x≤1

Domain restriction of cot^-1

-∞

Range of sin^-1

-π/2≤x≤π/2

Range of cos^-1

0≤x≤π

Range of tan^-1

-π/2≤x≤π/2

Range of csc^-1

-π/2≤x≤π/2

Range of sec^-1

0≤x≤π

Range of cot^-1

0≤x≤π