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Last updated at Aug. 12, 2021 by Teachoo

Transcript

Example 3 Show that (ii) sinโ1 (2xโ(1โ๐ฅ2)) = 2 cosโ1x Solving L.H.S. sinโ1 ( 2x โ(1โ๐ฅ2) ) Putting x = cos ฮธ = sinโ1 ("2 cos ฮธ " โ(๐โ๐๐๐๐" ฮธ" )) = sinโ1 ("2 cos ฮธ " โ(๐๐๐๐" ฮธ" )) = sinโ1 (2 cos ฮธ sin ฮธ) = sinโ1 (sin 2ฮธ) We need to make 2x โ(๐โ๐๐) in terms of sin When we get โ(1โ๐ฅ2) , we put x = cos ฮธ or sin ฮธ = 2ฮธ = 2 ร cosโ1 x = 2 cosโ1 x = R.H.S. Since L.H.S. = R. H. S. Hence proved As x = cos ฮธ cosโ1 x = ฮธ

Examples

Example 1
Important

Example 2

Example 3 (i) Important

Example 3 (ii) You are here

Example 4 Deleted for CBSE Board 2022 Exams

Example 5 Important Deleted for CBSE Board 2022 Exams

Example 6 Important Deleted for CBSE Board 2022 Exams

Example 7 Deleted for CBSE Board 2022 Exams

Example 8 Deleted for CBSE Board 2022 Exams

Example 9 Important

Example 10 Important Deleted for CBSE Board 2022 Exams

Example 11 Important Deleted for CBSE Board 2022 Exams

Example 12 Important Deleted for CBSE Board 2022 Exams

Example 13 Important Deleted for CBSE Board 2022 Exams

Chapter 2 Class 12 Inverse Trigonometric Functions (Term 1)

Serial order wise

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.