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


Example 3 Show that (ii) sinโˆ’1 (2xโˆš(1โˆ’๐‘ฅ2)) = 2 cosโˆ’1x Solving L.H.S. sinโˆ’1 ( 2x โˆš(1โˆ’๐‘ฅ2) ) Putting x = cos ฮธ = sinโˆ’1 ("2 cos ฮธ " โˆš(๐Ÿโˆ’๐’„๐’๐’”๐Ÿ" ฮธ" )) = sinโˆ’1 ("2 cos ฮธ " โˆš(๐’”๐’Š๐’๐Ÿ" ฮธ" )) = sinโˆ’1 (2 cos ฮธ sin ฮธ) = sinโˆ’1 (sin 2ฮธ) We need to make 2x โˆš(๐Ÿโˆ’๐’™๐Ÿ) in terms of sin When we get โˆš(1โˆ’๐‘ฅ2) , we put x = cos ฮธ or sin ฮธ

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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.