Example 4 - Chapter 4 Class 12 Determinants

Last updated at Dec. 16, 2024 by

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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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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo