Question

If A + B + C = p, then the value of

$\left| \begin{matrix} \sin(A + B + C) & \sin B & \cos C \\ –\sin B & 0 & \tan A \\ \cos(A + B) & –\tan A & 0 \end{matrix} \right|$is equal to –

• A. 0
• B. 1
• C. 2 sin B tan A cosC
• D. None of these

Answer 1

Answer: (A)

0

Answer 2

Skew symmetric determinant of odd order

\ D = 0