Example 12 - Chapter 3 Class 11 Trigonometric Functions
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Example 12 Find the value of tan 13π/12 tan (13 π" " )/12 = tan ("Ο + " π /ππ) = tan π /ππ = πππ (π /πβπ /π) Using tan (π₯ β π¦) = (tanπ₯ β tanβ‘y)/(1 + tan π₯ tanβ‘y ) = (tanβ‘γ Ο/4γ β tan Ο/6)/(1 + tan Ο/4 tanβ‘γ Ο/6γ ) = (π β π/βπ)/(π + π/( βπ)) = (βπ β π)/(βπ + π) = (β3 β 1)/(β3 + 1) Γ (β3 β 1)/(β3 β 1) = (β(3 )β 1)2/(β3 + 1)(β3 β 1) = (3 + 1 β 2β3)/((β3)2 β (1)2) = (4 β 2β3)/(3 β 1) = 2 β βπ
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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