Misc 11 - Integrate 1 / cos (x + a) cos (x + b) - Class 12 - Integration using trigo identities - a-b formulae

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  1. Chapter 7 Class 12 Integrals
  2. Serial order wise

Transcript

Misc 11 Integrate the function 1 cos + cos + cos + cos ( + ) Divide & Multiplying by = sin sin 1 cos + cos + = 1 sin sin cos + cos + = 1 sin sin + cos + cos + = 1 sin sin ( + + ) cos + cos + = 1 sin + + + + cos + cos + = 1 sin + + cos + cos + cos + sin + cos + cos + = 1 sin + cos + + cos + = 1 sin tan + tan + Thus, our equation becomes 1 cos + cos + = 1 sin tan + tan + = 1 sin [ log cos + + 1 log cos + + 2 = 1 sin log cos + + log cos + + 1+ 2 = 1 sin log cos + + log cos + + + + = 1 sin log cos + + log cos + + = + + + +

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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.