Rewrite tan(x) with sin(2x) and cos(2x) : tan2sincos2

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Rewrite tan(x) with sin(2x) and cos(2x) : `tan2sincos2`

tan2sincos2 takes as argument an expression containing trigonometric functions.
tan2sincos2 replaces tan(x) by $\displaystyle {\frac{{\sin(2.x)}}{{1+\cos(2.x)}}}$ , in this expression.
Input :

tan2sincos2(tan(x))

Output :

sin(2*x)/(1+cos(2*x))

giac documentation written by Renée De Graeve and Bernard Parisse