Question: Help required in Adding equations

Dear All,

I need help in adding following two set of equtions in MAPLE, your help will be really appreciated:

w:=2*Pi*100:  O:=5*w

S1:=100*cos(O*t)*(cos(theta)-(1/3)*cos(3*theta)+(1/5)*cos(5*theta)-(1/7)*cos(7*theta))

S2:=100*cos(O*t)*(cos(theta-Pi/6)-(1/3)*cos(3*theta-Pi/6)+(1/5)*cos(5*theta-Pi/6)-(1/7)*cos(7*theta-Pi/6))

S:=S1+S2

Also

Addition of following two equations required pls

X1:=100*cos(O*t)*(cos(theta)-(1/3)*cos(3*theta)+(1/5)*cos(5*theta)-(1/7)*cos(7*theta))

X2:=100*cos(O*t-(O/w)*(Pi/6))*(cos(theta-Pi/6)-(1/3)*cos(3*(theta-Pi/6))+(1/5)*cos(5*(theta-Pi/6))-(1/7)*cos(7*(theta-Pi/6)))

X:=X1+X2

I am attaching the maple sheet as well for convenience. 

MAPLEHELP_PLS.mw

Looking forward to your kind replies.   Your solution will be really appreciated as I am not sure how to solve.  

Best Regards

A.Q