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  4. If A, B, C are the angles of a triangle ABC, then the determinant Δ=[ sin 2 A sin C sin B [0.3em] sin C sin 2 B sin A [0.3em] sin B sin A& sin 2 C ] is equal to

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Q. If A, B, C are the angles of a triangle ABC, then the determinant $\Delta=\begin{bmatrix} \sin 2 \,A &\sin \,C & \sin \,B \\[0.3em] \sin \,C &\sin 2\,B & \sin \,A \\[0.3em] \sin \,B & \sin\,A& \sin 2\,C \end{bmatrix}$ is equal to

Determinants

Solution:

Its value is zero