Example 7 - Show that tan-1 x + tan-1 2x/(1-x2) - Inverse - Not clear how to approach

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

Transcript

Example 7 Show that tan-1 + tan-1 2 /(1 2) = tan-1 (3 3)/(1 3 2) Taking L.H.S tan-1 + tan-1 2 /(1 2) = tan-1 ( + 2 /(1 2))/(1 2 /(1 2)) = tan-1 ( + 2 /(1 2))/(1 2 ^2/(1 2)) = tan-1 (( (1 2) + 2 )/(1 2))/( (1 2) 2 ^2/(1 2)) = tan-1 (( 3 + 2 )/(1 2))/( 1 2 2 ^2/(1 2)) = tan-1 (( + 2 3)/(1 2))/( 1 2 2 ^2/(1 2)) = tan-1 ((3 3)/(1 2))/( 1 3 ^2/(1 2)) = tan-1 (3 3)/(1 2) (1 2)/ 1 3 ^2 = tan-1 (3 3)/ 1 3 ^2 = R.H.S Hence, L.H.S = R.H.S Hence proved

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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.