arccos(cos)

Compute x=arc$val11($val11($val8)), writing it under the form x=$val6+$val7, where $val6 and $val7 are rational numbers.

Linear arccos(cos)

For x within the interval [$val21,$val22], one can simplify the function $val8(x)=arc$val13($val13(x)) to a linear function of the form $val6$val9 + $val7. What is this linear function?

Definition domain (Arcsin, Arcos)

Let be the function defined by . The definition domain of is composed of disjoint intervals. The definition domain is the reunion of $val32 intervals : What are their bounds (in increasing order)
$val42 ,   , .
if a bound is infinity, write +inf or -inf

arccos(sin)

Compute x=arc$val12($val11($val8)), writing it under the form x=$val6+$val7, where $val6 and $val7 are rational numbers.

arctg(tg)

Compute x=arctg(tg($val8)), writing it under the form x=$val6+$val7, where $val6 and $val7 are rational numbers.

Composed differentiability

Is the function $val8(x)=arc$val10($val11(x)) differentiable in the interval [$val17,$val18] ?

Composed range

Consider the function $val10(x) = $val17. Determine the (maximal) interval of definition I and the image interval J of $val10.

To give your reply, let I=[$val6,$val7] (open or closed), J=[$val8,$val9] (open or closed). Write "pi", "F" or "-F" to designate , or -.