Example 15 - Chapter 3 Class 11 Trigonometric Functions (Term 2)
Last updated at May 29, 2018 by Teachoo
Last updated at May 29, 2018 by Teachoo
Transcript
Example 15 Prove that cos (𝜋/4 + x) + cos (𝜋/4 − 𝑥) = root(2) cos 𝑥 Solving L.H.S : cos (𝜋/4 + x) + cos (𝜋/4 − 𝑥) Using 𝑐𝑜𝑠 𝐴+𝐵+𝑐𝑜𝑠 𝐴−𝐵=2𝑐𝑜𝑠 𝐴𝑐𝑜𝑠 𝐵 cos π4+π+cos π4−x=2 cos π4 cos𝑥 = 2 × 1 2 cos𝑥 = 2 cos 𝑥 = R.H.S ∴ L.H.S = R.H.S Hence, Proved
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