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2.21.20  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)=sin(x)/cos(x) and tries to rewrite the expression only with sine.
Input :

trigsin(sin(x)^4+cos(x)^2+1)

Output :

sin(x)^4-sin(x)^2+2

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