If A, B, C are the angles of triangle then the value of determina… - Vidyadip

MCQ

If $A, B, C$ are the angles of triangle then the value of determinant $\left| {\begin{array}{*{20}{c}}
{\sin \,2A}&{\sin \,C}&{\sin \,B} \\
{\sin \,C}&{\sin \,2B}&{\sin A} \\
{\sin \,B}&{\sin \,A}&{\sin \,2C}
\end{array}} \right|$ is

A
$\pi $
✓
$0$
C
$2\pi $
D
None

✓

Answer

Correct option: B.

$0$

b
$\left|\begin{array}{ccc}{\sin A} & {\cos A} & {0} \\ {\sin B} & {\cos B} & {0} \\ {\sin C} & {\cos C} & {0}\end{array}\right| \times\left|\begin{array}{ccc}{\cos A} & {\sin A} & {0} \\ {\cos B} & {\sin B} & {0} \\ {\cos C} & {\sin C} & {0}\end{array}\right|=0$

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