Example 6 - Chapter 2 Class 12 Inverse Trigonometric Functions
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Example 6 Write cot-1 (1/ ( ^2 1)), | | > 1 in the simplest form. cot-1 (1/ ( ^2 1)) Putting x = sec = cot-1 (1/ (sec^2 1)) = cot-1 (1/ ( (1 + tan^2 ) 1)) = cot-1 (1/ ( 1 1 + tan^2 )) = cot-1 (1/ (tan^2 )) = cot-1 (1/tan ) = cot-1 (cot ) = We assumed x = sec sec = x = sec-1 x Hence, cot-1 (1/ ( ^2 1)) = cot-1 (1/ ( ^2 1)) = sec-1 x
Chapter 2 Class 12 Inverse Trigonometric Functions
Serial order wise
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