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Prove that the determinant [x sin theta cos theta-sin theta-x1cos theta1x] is independent of theta.

Prove that the determinant |[x,sin theta,cos theta],[-sin theta,-x,1],[cos theta,1,x]| is independent of

Prove that the determinant |(x,sin theta,cos theta),(-sin theta,-x,1),(cos theta,1,x)| is independent of theta

Prove that the determinant |(x,sin theta,cos theta),(-sin theta,-x,1),(cos theta,1,x)| is independent of theta

Prove that the determinant |{:(x, sin theta, cos theta),(-sin theta,-x,1),(cos theta,1,x):}| is independent of theta

Prove that the determinant {:[( x, sin theta ,cos theta ),( -sin theta , -x , 1),( cos theta , 1,x) ]:} is independent of theta.

Prove that the determinant {:[( x, sin theta ,cos theta ),( -sin theta , -x , 1),( cos theta , 1,x) ]:} is independent of theta.

Prove that the determinant {:|( x, sin theta ,cos theta ),( -sin theta , -x , 1),( cos theta , 1,x) |:} is independent of theta.

(i) |(cos theta,-sin theta),(sin theta,cos theta)|

8sin theta cos theta*cos2 theta cos4 theta=sin x rArr x=