Example 6 - Chapter 2 Class 12 Inverse NCERT - cot-1 - Not clear how to approach

Slide4.JPG

  1. Chapter 2 Class 12 Inverse Trigonometric Functions
  2. Serial order wise
Ask Download

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

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
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.