I want to taylor-expand cos(x) to the powers of two, four, and six, then to make equations which does not contain O(x^2) etc. and to obtain its value at x=0.1.

For that, I wrote as the following.

(1):

a:=seq(taylor(cos(x),x=0,i),i=[2,4,6]);

convert(a),polynom);

(2):

a:=seq(taylor(cos(x),x=0,i),i=[2,4,6]);

seq(convert(op(i,a),polynom),i=[2,4,6]);

(3):

a:=seq(taylor(cos(x),x=0,i),i=[2,4,6]):

convert(a,polynom);

All of the above were not good.

On earth, I couldn't pick up each of the result of

a:=seq(taylor(cos(x),x=0,i),i=[2,4,6])

with op(1,a).

How can I solve this problem?