Simplify `|[1,1,1],[1,1+sintheta,1],[1+costheta,1,1]|`

The maximum value of |(1,1,1),(1,1+sintheta,1),(1,1,1+costheta)| is 1/2 Is it true or false

If Delta = |[1, 3costheta, 1], [sintheta, 1, 3costheta], [1, sintheta, 1]|, the maximum value of Delta is

Prove that the determinant |[x, sintheta,costheta],[-sintheta,-x,1],[costheta,1,x]| is independent of theta

Prove that the determinate abs([x,sintheta,costheta],[-sintheta,-x,1],[costheta,1,x]) is independent of theta

Prove that |[x, sintheta, costheta],[-sintheta, -x, 1],[costheta, 1, x]| is independent of theta

Simplify (1-costheta)/sintheta

Simplify (1-costheta)/sintheta

Simplify: (1+tan^(2)theta)(1-sintheta)(1+sintheta)

If Delta=|{:(1,sintheta,1),(-sintheta,1,sintheta),(-1,-sintheta,1):}|"prove that" 2lt=Deltalt=4.