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Ex 3.3, 7 - Chapter 3 Class 11 Trigonometric Functions
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Ex 3.3, 7 Prove that: (tan"(" π/4 " + " π₯")" )/(tan"(" Ο/4 " β " π₯")" ) = ((1+ tan" " π₯)/(1β tan" " π₯))^2 Solving L.H.S. (tanβ‘ (π/4 + π₯) )/tanβ‘(π/4 β π₯) Calculating L.H.S tanβ‘γ(π/4 + π₯)γ/tanβ‘γ( π/4 βπ₯)γ = ((1 + π‘ππβ‘π₯)/(1β π‘ππβ‘π₯ ))/((1 β tanβ‘x)/(1 + tanβ‘x )) = (1 + π‘ππβ‘π₯)/(1β π‘ππβ‘π₯ ) Γ (1 + π‘ππβ‘π₯)/(1β π‘ππβ‘π₯ ) = (1 + π‘ππβ‘π₯ )2/((1β π‘ππβ‘γπ₯)2γ ) = R.H.S Hence proved
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Chapter 3 Class 11 Trigonometric Functions
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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.