Simplify and express preferentially with cosine : trigcos

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

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

Output :

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