Check sibling questions

Example 4 - Chapter 4 Class 12 Determinants

Last updated at May 29, 2023 by

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

Example 4 - Chapter 4 Class 12 Determinants - Part 2

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class

Book a free demo

Transcript

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 = 0|■8(0&sin⁡𝛽@−sin⁡𝛽&0)| – sin α |■8(−sin⁡𝛼&sin⁡𝛽@cos⁡𝛼&0)| + (–cos 𝛼) |■8(−sin⁡𝛼&[email protected]⁡𝛼&−sin⁡𝛽 )| 0 (0(0) – (– sin β) sin β) – sin 𝛼 (– sin 𝛼 (0) – cos 𝛼 sin β) – cos 𝛼 (–sin 𝛼 (–sin β ) – cos 𝛼 (0)) = sin 𝛼 cos 𝛼 sin β – sin 𝛼 cos 𝛼 sin β = 0

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.