Let
be the function defined on the interval
by
.
The function
is continuous and strictly increasing on
, and
. Therefore
is invertible. Its inverse is
called arcsinus and denoted
.
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For example:
;
.
Let
be the function defined on the interval
by
.
The function
is continuous and strictly decreasing on
, and
. Therefore
is invertible. Its inverse is
called arccosinus and denoted
.
![]() |
For example:
;
.
Let
be the function defined on the interval
by
.
The function
is continuous and strictly increasing on
, and
. Therefore
is invertible.
Its inverse is called arctangent and denoted
.
![]() |
For example:
;
.
The inverse trigonometric functions verify many interesting identities; let us see some of them as examples.
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