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What is the value of the following determinant?

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  1. -1
  2. 0
  3. 2tan A sin B sin C
  4. -2tan A sin B sin C

Answer (Detailed Solution Below)

Option 2 : 0
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Detailed Solution

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Formula used:

det(A) = 

= a1(b2 c3 - b3 c2) - a2(b1c3 - b3c1) + a3 (b1c2 - b2c1)

Calculation:

= cos C (0 + tan A sin B) - tan A (sin B cos C) 

= tan A sin B cos C - tan A sin B cos C

= 0

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