Transform arctan into arccos : atan2acos

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Transform arctan into arccos : `atan2acos`

atan2acos takes as argument an expression containing inverse trigonometric functions.
atan2acos replaces arctan(x) by $\displaystyle {\frac{{\pi}}{{2}}}$ - arccos( $\displaystyle {\frac{{x}}{{\sqrt{1+x2}}}}$ ), in this expression.
Input :

atan2acos(atan(x))

Output :

pi/2-acos(x/sqrt(1+x^2))

giac documentation written by Renée De Graeve and Bernard Parisse