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Examples
Example 2
Example 3 (i) Important Deleted for CBSE Board 2023 Exams
Example 3 (ii) You are here
Example 4 Deleted for CBSE Board 2023 Exams
Example 5 Important Deleted for CBSE Board 2023 Exams
Example 6 Important Deleted for CBSE Board 2023 Exams
Example 7 Deleted for CBSE Board 2023 Exams
Example 8 Deleted for CBSE Board 2023 Exams
Example 9 Important
Example 10 Important Deleted for CBSE Board 2023 Exams
Example 11 Important Deleted for CBSE Board 2023 Exams
Example 12 Important Deleted for CBSE Board 2023 Exams
Example 13 Important Deleted for CBSE Board 2023 Exams
Last updated at Aug. 12, 2021 by Teachoo
Maths Crash Course - Live lectures + all videos + Real time Doubt solving!
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