Example 4 - Evaluate |0 sin -cos -sin 0 sin cos -sin 0| - Examples

  1. Chapter 4 Class 12 Determinants
  2. Serial order wise
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Example 4 Evaluate ∆ = 0﷮ sin﷮𝛼﷯﷮− cos﷮𝛼﷯﷮− sin﷮𝛼﷯﷮0﷮ sin﷮β﷯﷮ cos﷮𝛼﷯﷮− sin﷮β﷯﷮0﷯﷯ ∆ = 0﷮ sin﷮𝛼﷯﷮− cos﷮𝛼﷯﷮− sin﷮𝛼﷯﷮0﷮ sin﷮β﷯﷮ cos﷮𝛼﷯﷮− sin﷮β﷯﷮0﷯﷯ = = 0(0 + sin2 β) – sin 𝛼 (0 – cos α sin β ) – cos 𝛼( – sin 𝛼 sin β – 0) = 0 – sin 𝛼 ( –cos 𝛼 sin β ) – cos 𝛼 ( – sin 𝛼 sin β ) = sin 𝛼 cos 𝛼 sin β – cos 𝛼 sin 𝛼 sin β = sin 𝛼 cos 𝛼 sin β – sin 𝛼 cos 𝛼 sin β = 0

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