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Simplify and express preferentially with tangents : trigtan

trigtan takes as argument an expression containing trigonometric functions.
trigtan simplifies this expression with the formula :
sin(x)2 + cos(x)2 = 1, tan(x) = $\displaystyle {\frac{{\sin(x)}}{{\cos(x)}}}$ and tries to rewrite the expression only with tangents.
Input :
Output :
Output, after simplification with normal :

giac documentation written by Renée De Graeve and Bernard Parisse