Example 10 - Show that sin-1 3/5 - sin-1 8/17  = cos-1 84/85 - Examples

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

Transcript

Example 10 Show that sin-1 3/5 sin-1 8/17 = cos-1 84/85 Let sin-1 3/5 = a and sin-1 8/17 = b We know that cos (a b) = cos a cos b + sin a sin b cos (a b) = 4/5 15/17 + 3/5 8/17 cos (a b) = (60 + 24)/(17 5) cos (a b) = 84/85 (a b) = cos-1 (84/85) Putting the value of a and b sin-1 3/5 sin-1 8/7 = cos-1 (84/85) 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.