Prove that the determinant `[xsinthetacostheta-sintheta-x1costheta1x]` is independent of 0.

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

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

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

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

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 the determinant |{:(x,sintheta,costheta),(-sintheta,-x,1),(costheta,1,x):}| is independent of theta .

Prove that the determinent |{:(x,sintheta,costheta),(-sintheta,-x,1),(costheta,1,x):}| is independent from value of theta

Prove that |[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