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Simplify and express preferentially with sine : trigsin

trigsin takes as argument an expression containing trigonometric functions.
trigsin simplify 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 sine.
Input :
Output :

giac documentation written by Renée De Graeve and Bernard Parisse