MATLAB: Substitute symbolic expression into matrix

Question

I would like to evaluate a symbolic matrix for certain values. Unfortunately, I cannot find a way for Matlab to show the analytically correct solution, instead I get very long fractions as a result.

For example, I have a matrix B and a variable a:

syms a B
B=[sin(a)^2; cos(a)^2]
a=sym(atan(2))

To insert a into the matrix B I use subs:

B=subs(B)

Matlab outputs the following expression as a result:

 cos(1246538638225297/1125899906842624)^2
 sin(1246538638225297/1125899906842624)^2

Is there a way to output the analytical solution?

For example, the command below will produce the exact result of 1/5:

 sym(cos(atan(2))^2)
 ans = 1/5

Thanks for the help!

Answer 1

 sym(double(subs(B)))