Transform arctan into arcsin : atan2asin

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Transform arctan into arcsin : `atan2asin`

atan2asin takes as argument an expression containing inverse trigonometric functions. atan2asin replaces arctan(x) by arcsin( $\displaystyle {\frac{{x}}{{\sqrt{1+x2}}}}$ ), in this expression.
Input :

atan2asin(atan(x))

Output :

asin(x/sqrt(1+x^2))

giac documentation written by Renée De Graeve and Bernard Parisse