#### Question

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

#### Solution

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Solution Prove that the Determinant |(X,Sin Theta, Cos Theta),(-sin Theta, -x, 1),(Cos Theta, 1, X)| Is Independent Of θ.Is Independent Of θ. Concept: Determinants of Matrix of Order One and Two.