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Question: If A + B + C = p, then value of \(\left| \begin{matrix} \sin(A + B + C) & \sin B & \cos C \\ –\sin ...

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

∣sin⁡(A+B+C)sin⁡Bcos⁡C–sin⁡B0tan⁡Acos⁡(A+B)–tan⁡A0∣\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

A

2 sin B. tan A. cos C

B

0

C

1

D

None of these

Answer

0

Explanation

Solution

Det. is skew symmetric so value = 0