What is the domain and range of inverse trigonometric functions?

1 Answer
Nghi N. ยท Kevin B.
Apr 7, 2015

For a trig function, the range is called "Period"

For example, the function f(x) = cos x has a period of 2pi; the function f(x) = tan x has a period of pi. Solving or graphing a trig function must cover a whole period.

The range depends on each specific trig function.
For example, the inverse function f(x) = 1/(cos x) = sec x has as period 2pi.

Its range varies from (+infinity) to Minimum 1 then back to (+infinity), between (-pi/2 and pi/2).

Its range also varies from (-infinity) to Max -1 then back to to (-infinity), between (pi/2 and 3pi/2).

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