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Question

Mathematics Question on Determinants

The value of the determinant cos2θcosθsinθ0sinθcosθ0 001\begin{vmatrix}cos^2θ&cosθsinθ&0 \\\\-sinθ&cosθ&0 \\\ 0&0&1 \end{vmatrix} is equal to

A

1

B

cos θ

C

cos 2θ

D

cos θ-sin θ

Answer

cos θ

Explanation

Solution

The correct option is(B):cos θ