# OEF Inverse trigonometric functions --- Introduction ---

This module actually contains 10 exercises on inverse trigonometric functions: arccos, arcsin, arctg, et leurs compositions.

### arccos(cos)

Compute , writing it under the form , where and are rational numbers.

### Linear arccos(cos)

For within the interval [,], one can simplify the function defined by to a linear function of the form . What is this linear function?
Write pi for .

### Definition domain (Arcsin, Arccos)

Let be the function defined by . The definition domain of is composed of disjoint intervals. The definition domain is the reunion of intervals : What are their bounds (in increasing order)
,   , .
If a bound is infinity, write +inf or -inf

### arccos(sin)

Compute , writing it under the form , where and are rational numbers.

### arctg(tg)

Compute , writing it under the form , where and are rational numbers.

### Composed differentiability

Is the function definded by differentiable in the interval [,] ?

### Composed range

Consider the function defined by . Determine the (maximal) interval of definition and the image interval of .
To give your reply, let (open or closed), (open or closed). Write "pi", "F" or "-F" to designate , or .

### Définition et image I

Choisissez les intervalles les plus pertinents dans les énoncés suivants.
La fonction est définie sur l'intervalle .
Son image est .
Cette fonction est dérivable sur .

### Définition et image II

Choisissez les intervalles les plus pertinents dans les énoncés suivants.
La fonction est définie sur l'intervalle .
Son image est .
On a pour .

### Définition et image III

Choisissez les intervalles les plus pertinents dans les énoncés suivants.
La fonction est définie sur l'intervalle .
Son image est .
The most recent version

This page is not in its usual appearance because WIMS is unable to recognize your web browser.
In order to access WIMS services, you need a browser supporting forms. In order to test the browser you are using, please type the word wims here: and press Enter''.

Please take note that WIMS pages are interactively generated; they are not ordinary HTML files. They must be used interactively ONLINE. It is useless for you to gather them through a robot program.

• Description: collection of exercises on inverse trigonometric functions. serveur web interactif avec des cours en ligne, des exercices interactifs, des calculatrices et traceurs en ligne
• Keywords: serveur interactif, enseignement, cours en ligne, ressources pédagogiques, sciences, langues, qcm,classes,exercices, analysis, trigonometric_functions,trigonometry