While expanding a lengthy expression I get these in mein series expansion

ln(e)^4*cos(argument(e)/z)^2

I guess e is just exp(1) so why does maple not simplify it to 1 ?

and what shall arg(e) mean?

is it zero?

Can maple in any way simplify this any further?

-(1/4)*m*omega*sin((1/2)*omega*T)*(2*cos((1/2)*omega*T)^2*xa^2+2*cos((1/2)*omega*T)^2*xb^2-xa^2-2*xa*xb-xb^2)/((cos((1/2)*omega*T)^2-1)*cos((1/2)*omega*T))

I've tried simplify, radnormal, combine but am wondering why maple does not convert for example the denominator in sin(omega*T) 

I know how to export to .png or .jpg but I'm not quite pleased with the quality of the images.

Is there a way to export high quality images? i.e. no sharp edges of the function in the plot

LegendreP(m-1/2, l+1/2, coth(x))/sqrt(sinh(x))

I want to calculate the series about x=0 but I get the error 

Error, (in MultiSeries:-multiseries) need to determine the sign of, 2*m

What problem does maple encounter here?

I tried assume(m>0) and then I got the error

Error, (in MultiSeries:-multiseries) need to determine the sign of, 1-2*m

Say I have the equation:

f:=x^5+a*x^4+b*x^3+c*x^2+d*x+e

and I want to introduce an identity namely

x^3:=1

Since

subs(x^3=1,f)

or

eval(f,x^3=1)

doesnt work I wonder what is the most elegant way to implement this?