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Example 15 Prove that cos (ฯ€/4+๐‘ฅ) + cos (ฯ€/4โˆ’๐‘ฅ) = โˆš2 cos ๐‘ฅ Solving L.H.S. cos (ฯ€/4+๐‘ฅ) + cosโก(ฯ€/4โˆ’๐‘ฅ) = 2 cos ((ฯ€/4 " + " ๐‘ฅ + ฯ€/4 " โˆ’ " ๐‘ฅ )/2) cos ((ฯ€/4 " + " ๐‘ฅ โˆ’ (ฯ€/4 " โˆ’ " ๐‘ฅ) )/2) = ๐Ÿ ๐’„๐’๐’”โก๐›‘/๐Ÿ’ ๐’„๐’๐’”โก๐’™ = 2 ร— 1/โˆš2 cosโก๐‘ฅ = โˆš๐Ÿ ๐’„๐’๐’”โก๐’™ = R.H.S.

  1. Chapter 3 Class 11 Trigonometric Functions
  2. Serial order wise

About the Author

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo