Example 4 - Show tan-1 1/2 + tan-1 2/11 = tan-1 3/4 - Examples

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

Transcript

Example 4 Show that tan-1 1/2 + tan-1 2/11 = tan-1 3/4 Taking L.H.S tan-1 1/2 + tan-1 2/11 = tan-1 (1/2 + 2/11)/(1 1/2 2/11) = tan-1 (1/2 + 2/11)/(1 1/11) = tan-1 ((1(11) + 2(2))/(2 11) )/((1(11) 1)/11) = tan-1 ((11 + 4)/(2 11) )/((11 1)/11) = tan-1 (15/(2 11) )/(10/11) = tan-1 (15/(2 11) 11/10) = tan-1 3/4 = R.H.S. Thus L.H.S = R.H.S Hence proved

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.