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

part 2 - Example 4 - Examples - Serial order wise - Chapter 4 Class 12 Determinants

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Example 4 Evaluate ∆ = |■8(0&sin⁡𝛼&−cos⁡𝛼@−sin⁡𝛼&0&sin⁡β@cos⁡𝛼&−sin⁡β&0)| ∆ =|■8(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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