Prove that ` |[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 .

If A=[[costheta, sintheta], [-sintheta, costheta]] , then

If sintheta-costheta=1 ,then find sintheta.costheta

If sintheta+costheta=x then sintheta-costheta=?

If |{:(x,sintheta,costheta),(-sintheta,-x,1),(costheta,1,x):}|=8 , then the value of x is :

If Sintheta + Costheta = 1 Sintheta - Costheta = ?

If sintheta+costheta=1 , then Find sintheta.costheta