Last updated at May 29, 2018 by Teachoo

Transcript

Example 3 Show that sin-1 (2x (1 2)) = 2 sin-1x Taking L.H.S. sin-1 ( 2x (1 2) ) Putting x = sin = sin-1 ("2 sin " (1 2" " )) = sin-1 ("2 sin " ( 2" " )) = sin-1 (2sin cos ) = sin-1 sin 2 = 2 = 2 sin-1 x = 2 sin-1 x = R.H.S. Hence L.H.S. = R. H. S. Hence proved Example 3 Show that (ii) sin-1 (2x (1 2)) = 2 cos-1x Taking L.H.S. sin-1 ( 2x (1 2) ) Putting x = cos = sin-1 ("2 cos " (1 2" " )) = sin-1 ("2 cos " ( 2" " )) = sin-1 (2 cos sin ) = sin-1 sin 2 = 2 = 2 cos-1 x = 2 cos-1 x = R.H.S. Hence L.H.S. = R. H. S. Hence proved

Chapter 2 Class 12 Inverse Trigonometric Functions

Serial order wise

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.