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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